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494080 = 295193
BaseRepresentation
bin1111000101000000000
3221002202021
41320220000
5111302310
614331224
74125316
oct1705000
9832667
10494080
11308234
121b9b14
13143b72
14cc0b6
159b5da
hex78a00

494080 has 40 divisors (see below), whose sum is σ = 1190772. Its totient is φ = 196608.

The previous prime is 494077. The next prime is 494083. The reversal of 494080 is 80494.

It is an interprime number because it is at equal distance from previous prime (494077) and next prime (494083).

It can be written as a sum of positive squares in 2 ways, for example, as 473344 + 20736 = 688^2 + 144^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (494083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2464 + ... + 2656.

2494080 is an apocalyptic number.

494080 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 494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595386).

494080 is an abundant number, since it is smaller than the sum of its proper divisors (696692).

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

494080 is an equidigital number, since it uses as much as digits as its factorization.

494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 494080 is about 702.9082443676. The cubic root of 494080 is about 79.0555609787.

The spelling of 494080 in words is "four hundred ninety-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 193 256 320 386 512 640 772 965 1280 1544 1930 2560 3088 3860 6176 7720 12352 15440 24704 30880 49408 61760 98816 123520 247040 494080