657428004 has 18 divisors (see below), whose sum is σ = 1661831990. Its totient is φ = 219142656.

The previous prime is 657427933. The next prime is 657428027. The reversal of 657428004 is 400824756.

657428004 is a `hidden beast` number, since 6 + 574 + 2 + 80 + 0 + 4 = 666.

657428004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 337089600 + 320338404 = 18360^2 + 17898^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 18261889 = 657428004 / (6 + 5 + 7 + 4 + 2 + 8 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 657428004.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9130909 + ... + 9130980.

Almost surely, 2^657428004 is an apocalyptic number.

It is an amenable number.

657428004 is an abundant number, since it is smaller than the sum of its proper divisors (1004403986).

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

657428004 is a wasteful number, since it uses less digits than its factorization.

657428004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18261899 (or 18261894 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 657428004 is about 25640.3588898440. The cubic root of 657428004 is about 869.5263216177.

The spelling of 657428004 in words is "six hundred fifty-seven million, four hundred twenty-eight thousand, four".