460437762720 has 192 divisors, whose sum is σ = 1562372993664. Its totient is φ = 113307586560.

The previous prime is 460437762689. The next prime is 460437762731. The reversal of 460437762720 is 27267734064.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 460437762720.

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, 30025455 + ... + 30040785.

It is an arithmetic number, because the mean of its divisors is an integer number (8137359342).

Almost surely, 2^460437762720 is an apocalyptic number.

460437762720 is a gapful number since it is divisible by the number (40) 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 460437762720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781186496832).

460437762720 is an abundant number, since it is smaller than the sum of its proper divisors (1101935230944).

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

460437762720 is a wasteful number, since it uses less digits than its factorization.

460437762720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20175 (or 20167 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 48.

The spelling of 460437762720 in words is "four hundred sixty billion, four hundred thirty-seven million, seven hundred sixty-two thousand, seven hundred twenty".