257405984 has 24 divisors (see below), whose sum is σ = 552838608. Its totient is φ = 117002560.

The previous prime is 257405963. The next prime is 257405987. The reversal of 257405984 is 489504752.

It is a happy number.

257405984 is digitally balanced in base 2, 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 (44).

It is not an unprimeable number, because it can be changed into a prime (257405987) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 365282 + ... + 365985.

It is an arithmetic number, because the mean of its divisors is an integer number (23034942).

Almost surely, 2^257405984 is an apocalyptic number.

It is an amenable number.

257405984 is an abundant number, since it is smaller than the sum of its proper divisors (295432624).

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

257405984 is a wasteful number, since it uses less digits than its factorization.

257405984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731288 (or 731280 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The square root of 257405984 is about 16043.8768382209. The cubic root of 257405984 is about 636.1207265250.

The spelling of 257405984 in words is "two hundred fifty-seven million, four hundred five thousand, nine hundred eighty-four".