460947456 has 128 divisors (see below), whose sum is σ = 1368370800. Its totient is φ = 153354240.

The previous prime is 460947437. The next prime is 460947523. The reversal of 460947456 is 654749064.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 884476 + ... + 884996.

Almost surely, 2^460947456 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 460947456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684185400).

460947456 is an abundant number, since it is smaller than the sum of its proper divisors (907423344).

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

460947456 is an frugal number, since it uses more digits than its factorization.

460947456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 460947456 is about 21469.6869096873. The cubic root of 460947456 is about 772.4738873255.

The spelling of 460947456 in words is "four hundred sixty million, nine hundred forty-seven thousand, four hundred fifty-six".