230604757920 has 240 divisors, whose sum is σ = 861716543688. Its totient is φ = 57877217280.

The previous prime is 230604757919. The next prime is 230604757963. The reversal of 230604757920 is 29757406032.

230604757920 is a `hidden beast` number, since 2 + 30 + 6 + 0 + 47 + 579 + 2 + 0 = 666.

230604757920 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 4 ways, for example, as 186841791504 + 43762966416 = 432252^2 + 209196^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 303021 + ... + 743660.

Almost surely, 2^230604757920 is an apocalyptic number.

230604757920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230604757920 is an abundant number, since it is smaller than the sum of its proper divisors (631111785768).

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

230604757920 is a wasteful number, since it uses less digits than its factorization.

230604757920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046725 (or 1046708 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 230604757920 in words is "two hundred thirty billion, six hundred four million, seven hundred fifty-seven thousand, nine hundred twenty".