257378004 has 72 divisors (see below), whose sum is σ = 731133312. Its totient is φ = 75746880.

The previous prime is 257377999. The next prime is 257378041. The reversal of 257378004 is 400873752.

257378004 is a `hidden beast` number, since 2 + 573 + 7 + 80 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 257378004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192 + ... + 22719.

Almost surely, 2^257378004 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 257378004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365566656).

257378004 is an abundant number, since it is smaller than the sum of its proper divisors (473755308).

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

257378004 is a wasteful number, since it uses less digits than its factorization.

257378004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23957 (or 23952 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 257378004 is about 16043.0048307666. The cubic root of 257378004 is about 636.0976769406.

The spelling of 257378004 in words is "two hundred fifty-seven million, three hundred seventy-eight thousand, four".