461974656 has 256 divisors, whose sum is σ = 1480550400. Its totient is φ = 125767680.

The previous prime is 461974631. The next prime is 461974687. The reversal of 461974656 is 656479164.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2580775 + ... + 2580953.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2^461974656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461974656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

461974656 is an abundant number, since it is smaller than the sum of its proper divisors (1018575744).

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

461974656 is a wasteful number, since it uses less digits than its factorization.

461974656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 461974656 is about 21493.5956973234. The cubic root of 461974656 is about 773.0472690131.

The spelling of 461974656 in words is "four hundred sixty-one million, nine hundred seventy-four thousand, six hundred fifty-six".