56738464 has 48 divisors (see below), whose sum is σ = 115802568. Its totient is φ = 27343872.

The previous prime is 56738459. The next prime is 56738483. The reversal of 56738464 is 46483765.

It can be written as a sum of positive squares in 4 ways, for example, as 56130064 + 608400 = 7492^2 + 780^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56738464.

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, 204694 + ... + 204970.

Almost surely, 2^56738464 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 56738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57901284).

56738464 is an abundant number, since it is smaller than the sum of its proper divisors (59064104).

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

56738464 is a wasteful number, since it uses less digits than its factorization.

56738464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 489 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 56738464 is about 7532.4938765325. The cubic root of 56738464 is about 384.2606014594.

The spelling of 56738464 in words is "fifty-six million, seven hundred thirty-eight thousand, four hundred sixty-four".