460753148944 has 45 divisors (see below), whose sum is σ = 981305982111. Its totient is φ = 209419673760.

The previous prime is 460753148899. The next prime is 460753148959. The reversal of 460753148944 is 449841357064.

It is a happy number.

The square root of 460753148944 is 678788.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29858959 + ... + 29874385.

Almost surely, 2^460753148944 is an apocalyptic number.

460753148944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

460753148944 is the 678788-th square number.

It is an amenable number.

460753148944 is an abundant number, since it is smaller than the sum of its proper divisors (520552833167).

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

460753148944 is an frugal number, since it uses more digits than its factorization.

460753148944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30884 (or 15440 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 460753148944 in words is "four hundred sixty billion, seven hundred fifty-three million, one hundred forty-eight thousand, nine hundred forty-four".