56407440 has 80 divisors (see below), whose sum is σ = 176738688. Its totient is φ = 14880768.

The previous prime is 56407433. The next prime is 56407469. The reversal of 56407440 is 4470465.

56407440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 56407398 and 56407407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22069 + ... + 24491.

Almost surely, 2^56407440 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 56407440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88369344).

56407440 is an abundant number, since it is smaller than the sum of its proper divisors (120331248).

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

56407440 is a wasteful number, since it uses less digits than its factorization.

56407440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 56407440 is about 7510.4886658592. The cubic root of 56407440 is about 383.5118580340.

The spelling of 56407440 in words is "fifty-six million, four hundred seven thousand, four hundred forty".