257435424 has 36 divisors (see below), whose sum is σ = 732082806. Its totient is φ = 85811712.

The previous prime is 257435413. The next prime is 257435447. The reversal of 257435424 is 424534752.

It can be written as a sum of positive squares in only one way, i.e., 147185424 + 110250000 = 12132^2 + 10500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 446649 + ... + 447224.

Almost surely, 2^257435424 is an apocalyptic number.

257435424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257435424 is an abundant number, since it is smaller than the sum of its proper divisors (474647382).

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

257435424 is a wasteful number, since it uses less digits than its factorization.

257435424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893889 (or 893878 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 257435424 is about 16044.7942959703. The cubic root of 257435424 is about 636.1449770364.

The spelling of 257435424 in words is "two hundred fifty-seven million, four hundred thirty-five thousand, four hundred twenty-four".