483840 has 160 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 110592.

The previous prime is 483839. The next prime is 483853. The reversal of 483840 is 48384.

It is a Jordan-Polya number, since it can be written as 8! ⋅ 3! ⋅ 2!.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×483840^{2} = 468202291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69117 + ... + 69123.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2^{483840} is an apocalyptic number.

483840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080).

483840 is an abundant number, since it is smaller than the sum of its proper divisors (1480320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

483840 is an equidigital number, since it uses as much as digits as its factorization.

483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 483840 is about 695.5860838171. The cubic root of 483840 is about 78.5055914445.

The spelling of 483840 in words is "four hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 128 135 140 144 160 168 180 189 192 210 216 224 240 252 256 270 280 288 315 320 336 360 378 384 420 432 448 480 504 512 540 560 576 630 640 672 720 756 768 840 864 896 945 960 1008 1080 1120 1152 1260 1280 1344 1440 1512 1536 1680 1728 1792 1890 1920 2016 2160 2240 2304 2520 2560 2688 2880 3024 3360 3456 3584 3780 3840 4032 4320 4480 4608 5040 5376 5760 6048 6720 6912 7560 7680 8064 8640 8960 10080 10752 11520 12096 13440 13824 15120 16128 17280 17920 20160 23040 24192 26880 30240 32256 34560 40320 48384 53760 60480 69120 80640 96768 120960 161280 241920 483840

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