56406420 has 144 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 12722688.

The previous prime is 56406409. The next prime is 56406431. The reversal of 56406420 is 2460465.

It is a happy number.

56406420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56406409) and next prime (56406431).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 111889 + ... + 112391.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^56406420 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 56406420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

56406420 is an abundant number, since it is smaller than the sum of its proper divisors (141726060).

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

56406420 is a wasteful number, since it uses less digits than its factorization.

56406420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 56406420 is about 7510.4207605167. The cubic root of 56406420 is about 383.5095463741.

Adding to 56406420 its reverse (2460465), we get a palindrome (58866885).

The spelling of 56406420 in words is "fifty-six million, four hundred six thousand, four hundred twenty".