257472992304 has 80 divisors (see below), whose sum is σ = 806228576640. Its totient is φ = 78022117440.

The previous prime is 257472992297. The next prime is 257472992317. The reversal of 257472992304 is 403299274752.

It is a happy number.

257472992304 is a `hidden beast` number, since 2 + 5 + 7 + 47 + 299 + 2 + 304 = 666.

257472992304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27086262 + ... + 27095765.

It is an arithmetic number, because the mean of its divisors is an integer number (10077857208).

Almost surely, 2^257472992304 is an apocalyptic number.

257472992304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257472992304 is an abundant number, since it is smaller than the sum of its proper divisors (548755584336).

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

257472992304 is a wasteful number, since it uses less digits than its factorization.

257472992304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54182055 (or 54182043 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 257472992304 in words is "two hundred fifty-seven billion, four hundred seventy-two million, nine hundred ninety-two thousand, three hundred four".