456730501620 has 48 divisors (see below), whose sum is σ = 1287428284800. Its totient is φ = 120977383296.

The previous prime is 456730501613. The next prime is 456730501663. The reversal of 456730501620 is 26105037654.

It is a super-2 number, since 2×456730501620² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25535272 + ... + 25553151.

It is an arithmetic number, because the mean of its divisors is an integer number (26821422600).

Almost surely, 2^456730501620 is an apocalyptic number.

It is an amenable number.

456730501620 is an abundant number, since it is smaller than the sum of its proper divisors (830697783180).

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

456730501620 is a wasteful number, since it uses less digits than its factorization.

456730501620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51088584 (or 51088582 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 456730501620 in words is "four hundred fifty-six billion, seven hundred thirty million, five hundred one thousand, six hundred twenty".