257435460 has 36 divisors (see below), whose sum is σ = 780888108. Its totient is φ = 68649408.

The previous prime is 257435459. The next prime is 257435491. The reversal of 257435460 is 64534752.

It can be written as a sum of positive squares in 2 ways, for example, as 76317696 + 181117764 = 8736^2 + 13458^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 714919 + ... + 715278.

Almost surely, 2^257435460 is an apocalyptic number.

257435460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257435460 is an abundant number, since it is smaller than the sum of its proper divisors (523452648).

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

257435460 is a wasteful number, since it uses less digits than its factorization.

257435460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430212 (or 1430207 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 257435460 is about 16044.7954178294. The cubic root of 257435460 is about 636.1450066894.

The spelling of 257435460 in words is "two hundred fifty-seven million, four hundred thirty-five thousand, four hundred sixty".