257401872 has 180 divisors, whose sum is σ = 892067904. Its totient is φ = 67841280.

The previous prime is 257401871. The next prime is 257401877. The reversal of 257401872 is 278104752.

257401872 is a `hidden beast` number, since 2 + 574 + 0 + 1 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (257401871) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 169597 + ... + 171107.

Almost surely, 2^257401872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257401872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446033952).

257401872 is an abundant number, since it is smaller than the sum of its proper divisors (634666032).

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

257401872 is a wasteful number, since it uses less digits than its factorization.

257401872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 257401872 is about 16043.7486891312. The cubic root of 257401872 is about 636.1173392140.

The spelling of 257401872 in words is "two hundred fifty-seven million, four hundred one thousand, eight hundred seventy-two".