257714000 has 40 divisors (see below), whose sum is σ = 623157288. Its totient is φ = 103084800.

The previous prime is 257713993. The next prime is 257714027. The reversal of 257714000 is 417752.

It can be written as a sum of positive squares in 4 ways, for example, as 817216 + 256896784 = 904^2 + 16028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62429 + ... + 66428.

Almost surely, 2^257714000 is an apocalyptic number.

257714000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257714000 is an abundant number, since it is smaller than the sum of its proper divisors (365443288).

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

257714000 is a wasteful number, since it uses less digits than its factorization.

257714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128880 (or 128864 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 257714000 is about 16053.4731444632. The cubic root of 257714000 is about 636.3743560346.

The spelling of 257714000 in words is "two hundred fifty-seven million, seven hundred fourteen thousand".