257251140 has 120 divisors (see below), whose sum is σ = 854568792. Its totient is φ = 64558080.

The previous prime is 257251117. The next prime is 257251171. The reversal of 257251140 is 41152752.

257251140 is a `hidden beast` number, since 2 + 572 + 51 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32970564 + 224280576 = 5742^2 + 14976^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22870 + ... + 32210.

Almost surely, 2^257251140 is an apocalyptic number.

257251140 is a gapful number since it is divisible by the number (20) 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 257251140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427284396).

257251140 is an abundant number, since it is smaller than the sum of its proper divisors (597317652).

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

257251140 is a wasteful number, since it uses less digits than its factorization.

257251140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9379 (or 9368 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 257251140 is about 16039.0504706482. The cubic root of 257251140 is about 635.9931469536.

The spelling of 257251140 in words is "two hundred fifty-seven million, two hundred fifty-one thousand, one hundred forty".