257404464 has 120 divisors (see below), whose sum is σ = 759929040. Its totient is φ = 81209856.

The previous prime is 257404417. The next prime is 257404487. The reversal of 257404464 is 464404752.

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 23 ways as a sum of consecutive naturals, for example, 220747 + ... + 221909.

It is an arithmetic number, because the mean of its divisors is an integer number (6332742).

Almost surely, 2^257404464 is an apocalyptic number.

257404464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257404464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379964520).

257404464 is an abundant number, since it is smaller than the sum of its proper divisors (502524576).

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

257404464 is a wasteful number, since it uses less digits than its factorization.

257404464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 257404464 is about 16043.8294680541. The cubic root of 257404464 is about 636.1194744103.

The spelling of 257404464 in words is "two hundred fifty-seven million, four hundred four thousand, four hundred sixty-four".