460884153312 has 192 divisors, whose sum is σ = 1513755371520. Its totient is φ = 135156556800.

The previous prime is 460884153307. The next prime is 460884153347. The reversal of 460884153312 is 213351488064.

460884153312 is a `hidden beast` number, since 4 + 60 + 8 + 8 + 41 + 533 + 12 = 666.

460884153312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487533 + ... + 1076780.

It is an arithmetic number, because the mean of its divisors is an integer number (7884142560).

Almost surely, 2^460884153312 is an apocalyptic number.

It is an amenable number.

460884153312 is an abundant number, since it is smaller than the sum of its proper divisors (1052871218208).

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

460884153312 is a wasteful number, since it uses less digits than its factorization.

460884153312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564374 (or 1564360 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 460884153312 in words is "four hundred sixty billion, eight hundred eighty-four million, one hundred fifty-three thousand, three hundred twelve".