460521705204 has 48 divisors (see below), whose sum is σ = 1302485634240. Its totient is φ = 139552031520.

The previous prime is 460521705197. The next prime is 460521705247. The reversal of 460521705204 is 402507125064.

It is a happy number.

460521705204 is a `hidden beast` number, since 4 + 60 + 5 + 2 + 1 + 70 + 520 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193821079 + ... + 193823454.

It is an arithmetic number, because the mean of its divisors is an integer number (27135117380).

Almost surely, 2^460521705204 is an apocalyptic number.

460521705204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

460521705204 is an abundant number, since it is smaller than the sum of its proper divisors (841963929036).

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

460521705204 is a wasteful number, since it uses less digits than its factorization.

460521705204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387644557 (or 387644549 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

It can be divided in two parts, 46052 and 1705204, that added together give a triangular number (1751256 = T₁₈₇₁).

The spelling of 460521705204 in words is "four hundred sixty billion, five hundred twenty-one million, seven hundred five thousand, two hundred four".