56292408 has 96 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 17934048.

The previous prime is 56292407. The next prime is 56292427. The reversal of 56292408 is 80429265.

It is a happy number.

56292408 is a `hidden beast` number, since 5 + 629 + 24 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56292407) 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, 44083 + ... + 45341.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^56292408 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 56292408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

56292408 is an abundant number, since it is smaller than the sum of its proper divisors (108817992).

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

56292408 is a wasteful number, since it uses less digits than its factorization.

56292408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56292408 is about 7502.8266673301. The cubic root of 56292408 is about 383.2509813433.

The spelling of 56292408 in words is "fifty-six million, two hundred ninety-two thousand, four hundred eight".