5904385600 has 189 divisors, whose sum is σ = 15571153897. Its totient is φ = 2203156480.

The previous prime is 5904385589. The next prime is 5904385607. The reversal of 5904385600 is 65834095.

The square root of 5904385600 is 76840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 5432279616 + 472105984 = 73704^2 + 21728^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5904385607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52251144 + ... + 52251256.

Almost surely, 2^5904385600 is an apocalyptic number.

5904385600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5904385600 is the 76840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5904385600

5904385600 is an abundant number, since it is smaller than the sum of its proper divisors (9666768297).

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

5904385600 is a wasteful number, since it uses less digits than its factorization.

5904385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The cubic root of 5904385600 is about 1807.4164783587.

Multiplying 5904385600 by its product of nonzero digits (129600), we get a square (765208373760000 = 27662400²).

The spelling of 5904385600 in words is "five billion, nine hundred four million, three hundred eighty-five thousand, six hundred".