461535589920 has 48 divisors (see below), whose sum is σ = 1453837109760. Its totient is φ = 123076157184.

The previous prime is 461535589919. The next prime is 461535589939. The reversal of 461535589920 is 29985535164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 480765760 + ... + 480766719.

It is an arithmetic number, because the mean of its divisors is an integer number (30288273120).

Almost surely, 2^461535589920 is an apocalyptic number.

461535589920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461535589920 is an abundant number, since it is smaller than the sum of its proper divisors (992301519840).

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

461535589920 is a wasteful number, since it uses less digits than its factorization.

461535589920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961532497 (or 961532489 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 57.

The spelling of 461535589920 in words is "four hundred sixty-one billion, five hundred thirty-five million, five hundred eighty-nine thousand, nine hundred twenty".