257464451600 has 60 divisors (see below), whose sum is σ = 620759891220. Its totient is φ = 102619238400.

The previous prime is 257464451561. The next prime is 257464451653. The reversal of 257464451600 is 6154464752.

It can be written as a sum of positive squares in 6 ways, for example, as 10244678656 + 247219772944 = 101216^2 + 497212^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1032905 + ... + 1257704.

It is an arithmetic number, because the mean of its divisors is an integer number (10345998187).

Almost surely, 2^257464451600 is an apocalyptic number.

257464451600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257464451600 is an abundant number, since it is smaller than the sum of its proper divisors (363295439620).

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

257464451600 is a wasteful number, since it uses less digits than its factorization.

257464451600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290908 (or 2290897 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 257464451600 in words is "two hundred fifty-seven billion, four hundred sixty-four million, four hundred fifty-one thousand, six hundred".