56484456 has 96 divisors (see below), whose sum is σ = 168236640. Its totient is φ = 15748992.

The previous prime is 56484451. The next prime is 56484469. The reversal of 56484456 is 65448465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56484451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50010 + ... + 51126.

It is an arithmetic number, because the mean of its divisors is an integer number (1752465).

Almost surely, 2^56484456 is an apocalyptic number.

56484456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56484456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84118320).

56484456 is an abundant number, since it is smaller than the sum of its proper divisors (111752184).

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

56484456 is a wasteful number, since it uses less digits than its factorization.

56484456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1172 counting only the distinct ones).

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

The square root of 56484456 is about 7515.6141465618. The cubic root of 56484456 is about 383.6863215259.

The spelling of 56484456 in words is "fifty-six million, four hundred eighty-four thousand, four hundred fifty-six".