460023144480 has 168 divisors, whose sum is σ = 1629462023532. Its totient is φ = 122672807424.

The previous prime is 460023144391. The next prime is 460023144547. The reversal of 460023144480 is 84441320064.

460023144480 is a `hidden beast` number, since 4 + 600 + 2 + 3 + 1 + 4 + 4 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 448798165776 + 11224978704 = 669924^2 + 105948^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1855339 + ... + 2088618.

Almost surely, 2^460023144480 is an apocalyptic number.

460023144480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460023144480 is an abundant number, since it is smaller than the sum of its proper divisors (1169438879052).

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

460023144480 is an equidigital number, since it uses as much as digits as its factorization.

460023144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943990 (or 3943967 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 460023144480 in words is "four hundred sixty billion, twenty-three million, one hundred forty-four thousand, four hundred eighty".