257607040 has 32 divisors (see below), whose sum is σ = 615843360. Its totient is φ = 103042560.

The previous prime is 257607011. The next prime is 257607067. The reversal of 257607040 is 40706752.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×257607040² = 132722774115123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257606993 and 257607011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 200616 + ... + 201895.

It is an arithmetic number, because the mean of its divisors is an integer number (19245105).

Almost surely, 2^257607040 is an apocalyptic number.

257607040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257607040 is an abundant number, since it is smaller than the sum of its proper divisors (358236320).

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

257607040 is an equidigital number, since it uses as much as digits as its factorization.

257607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402530 (or 402518 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 257607040 is about 16050.1414323987. The cubic root of 257607040 is about 636.2863049134.

The spelling of 257607040 in words is "two hundred fifty-seven million, six hundred seven thousand, forty".