257975040 has 72 divisors (see below), whose sum is σ = 823920048. Its totient is φ = 68792320.

The previous prime is 257975023. The next prime is 257975071. The reversal of 257975040 is 40579752.

It is a super-2 number, since 2×257975040² = 133102242526003200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257975040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29751 + ... + 37430.

It is an arithmetic number, because the mean of its divisors is an integer number (11443334).

Almost surely, 2^257975040 is an apocalyptic number.

257975040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257975040 is an abundant number, since it is smaller than the sum of its proper divisors (565945008).

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

257975040 is an equidigital number, since it uses as much as digits as its factorization.

257975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67205 (or 67191 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 257975040 is about 16061.6014145539. The cubic root of 257975040 is about 636.5891459513.

The spelling of 257975040 in words is "two hundred fifty-seven million, nine hundred seventy-five thousand, forty".