56407920 has 80 divisors (see below), whose sum is σ = 177777312. Its totient is φ = 14791680.

The previous prime is 56407919. The next prime is 56407927. The reversal of 56407920 is 2970465.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56407927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12714 + ... + 16566.

Almost surely, 2^56407920 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 56407920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88888656).

56407920 is an abundant number, since it is smaller than the sum of its proper divisors (121369392).

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

56407920 is a wasteful number, since it uses less digits than its factorization.

56407920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 56407920 is about 7510.5206211021. The cubic root of 56407920 is about 383.5129458643.

The spelling of 56407920 in words is "fifty-six million, four hundred seven thousand, nine hundred twenty".