56458464 has 48 divisors (see below), whose sum is σ = 149304960. Its totient is φ = 18679680.

The previous prime is 56458459. The next prime is 56458477. The reversal of 56458464 is 46485465.

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

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, 11229 + ... + 15459.

It is an arithmetic number, because the mean of its divisors is an integer number (3110520).

Almost surely, 2^56458464 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 56458464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74652480).

56458464 is an abundant number, since it is smaller than the sum of its proper divisors (92846496).

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

56458464 is a wasteful number, since it uses less digits than its factorization.

56458464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4375 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 56458464 is about 7513.8847475856. The cubic root of 56458464 is about 383.6274598752.

The spelling of 56458464 in words is "fifty-six million, four hundred fifty-eight thousand, four hundred sixty-four".