257440900 has 18 divisors (see below), whose sum is σ = 558646970. Its totient is φ = 102976320.

The previous prime is 257440879. The next prime is 257440901. The reversal of 257440900 is 9044752.

It can be written as a sum of positive squares in 3 ways, for example, as 6471936 + 250968964 = 2544^2 + 15842^2 .

It is not an unprimeable number, because it can be changed into a prime (257440901) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1287105 + ... + 1287304.

Almost surely, 2^257440900 is an apocalyptic number.

257440900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257440900 is an abundant number, since it is smaller than the sum of its proper divisors (301206070).

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

257440900 is a wasteful number, since it uses less digits than its factorization.

257440900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574423 (or 2574416 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 257440900 is about 16044.9649423113. The cubic root of 257440900 is about 636.1494875594.

The spelling of 257440900 in words is "two hundred fifty-seven million, four hundred forty thousand, nine hundred".