461505664 has 64 divisors (see below), whose sum is σ = 981525600. Its totient is φ = 215388160.

The previous prime is 461505637. The next prime is 461505677. The reversal of 461505664 is 466505164.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284247 + ... + 285865.

Almost surely, 2^461505664 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 461505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490762800).

461505664 is an abundant number, since it is smaller than the sum of its proper divisors (520019936).

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

461505664 is a wasteful number, since it uses less digits than its factorization.

461505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 461505664 is about 21482.6828864553. The cubic root of 461505664 is about 772.7855838492.

The spelling of 461505664 in words is "four hundred sixty-one million, five hundred five thousand, six hundred sixty-four".