257438790 has 256 divisors, whose sum is σ = 846028800. Its totient is φ = 54400896.

The previous prime is 257438789. The next prime is 257438791. The reversal of 257438790 is 97834752.

257438790 is a `hidden beast` number, since 2 + 574 + 3 + 8 + 79 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (257438789) and next prime (257438791).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257438791) 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 127 ways as a sum of consecutive naturals, for example, 2405917 + ... + 2406023.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2^257438790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257438790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423014400).

257438790 is an abundant number, since it is smaller than the sum of its proper divisors (588590010).

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

257438790 is a wasteful number, since it uses less digits than its factorization.

257438790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 257438790 is about 16044.8991894621. The cubic root of 257438790 is about 636.1477495824.

The spelling of 257438790 in words is "two hundred fifty-seven million, four hundred thirty-eight thousand, seven hundred ninety".