460037873232 has 480 divisors, whose sum is σ = 1529326116864. Its totient is φ = 126385920000.

The previous prime is 460037873093. The next prime is 460037873233. The reversal of 460037873232 is 232378730064.

460037873232 is a `hidden beast` number, since 4 + 600 + 3 + 7 + 8 + 7 + 3 + 2 + 32 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460037873233) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 765453732 + ... + 765454332.

Almost surely, 2^460037873232 is an apocalyptic number.

460037873232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460037873232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764663058432).

460037873232 is an abundant number, since it is smaller than the sum of its proper divisors (1069288243632).

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

460037873232 is a wasteful number, since it uses less digits than its factorization.

460037873232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 460037873232 in words is "four hundred sixty billion, thirty-seven million, eight hundred seventy-three thousand, two hundred thirty-two".