257574072 has 64 divisors (see below), whose sum is σ = 779224320. Its totient is φ = 69262848.

The previous prime is 257574061. The next prime is 257574077. The reversal of 257574072 is 270475752.

257574072 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257574072² = 132688805133322368, 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 257574072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257574077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42238 + ... + 47949.

It is an arithmetic number, because the mean of its divisors is an integer number (12175380).

Almost surely, 2^257574072 is an apocalyptic number.

It is an amenable number.

257574072 is an abundant number, since it is smaller than the sum of its proper divisors (521650248).

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

257574072 is a wasteful number, since it uses less digits than its factorization.

257574072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90220 (or 90216 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 39.

The square root of 257574072 is about 16049.1143680890. The cubic root of 257574072 is about 636.2591602337.

The spelling of 257574072 in words is "two hundred fifty-seven million, five hundred seventy-four thousand, seventy-two".