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450840 = 233513172
BaseRepresentation
bin1101110000100011000
3211220102210
41232010120
5103411330
613355120
73555255
oct1560430
9756383
10450840
112887a5
12198aa0
1312a290
14ba42c
158d8b0
hex6e118

450840 has 96 divisors (see below), whose sum is σ = 1547280. Its totient is φ = 104448.

The previous prime is 450839. The next prime is 450841. The reversal of 450840 is 48054.

It is an interprime number because it is at equal distance from previous prime (450839) and next prime (450841).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26512 + ... + 26528.

2450840 is an apocalyptic number.

450840 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 450840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773640).

450840 is an abundant number, since it is smaller than the sum of its proper divisors (1096440).

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

450840 is a wasteful number, since it uses less digits than its factorization.

450840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 450840 is about 671.4462003765. The cubic root of 450840 is about 76.6785950774.

Adding to 450840 its reverse (48054), we get a palindrome (498894).

The spelling of 450840 in words is "four hundred fifty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 289 312 340 390 408 442 510 520 578 663 680 780 867 884 1020 1105 1156 1326 1445 1560 1734 1768 2040 2210 2312 2652 2890 3315 3468 3757 4335 4420 5304 5780 6630 6936 7514 8670 8840 11271 11560 13260 15028 17340 18785 22542 26520 30056 34680 37570 45084 56355 75140 90168 112710 150280 225420 450840