56487456 has 240 divisors, whose sum is σ = 185391360. Its totient is φ = 16796160.

The previous prime is 56487451. The next prime is 56487469. The reversal of 56487456 is 65478465.

56487456 is a `hidden beast` number, since 564 + 87 + 4 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (56487451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1526670 + ... + 1526706.

It is an arithmetic number, because the mean of its divisors is an integer number (772464).

Almost surely, 2^56487456 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 56487456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92695680).

56487456 is an abundant number, since it is smaller than the sum of its proper divisors (128903904).

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

56487456 is a wasteful number, since it uses less digits than its factorization.

56487456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 92 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 56487456 is about 7515.8137283996. The cubic root of 56487456 is about 383.6931141828.

The spelling of 56487456 in words is "fifty-six million, four hundred eighty-seven thousand, four hundred fifty-six".