56400408 has 64 divisors (see below), whose sum is σ = 161740800. Its totient is φ = 18191520.

The previous prime is 56400397. The next prime is 56400419. The reversal of 56400408 is 80400465.

It is an interprime number because it is at equal distance from previous prime (56400397) and next prime (56400419).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2485 + ... + 10907.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2^56400408 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 56400408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80870400).

56400408 is an abundant number, since it is smaller than the sum of its proper divisors (105340392).

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

56400408 is a wasteful number, since it uses less digits than its factorization.

56400408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8469 (or 8459 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 56400408 is about 7510.0205059640. The cubic root of 56400408 is about 383.4959206124.

The spelling of 56400408 in words is "fifty-six million, four hundred thousand, four hundred eight".