56474100 has 108 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 14913600.

The previous prime is 56474057. The next prime is 56474101. The reversal of 56474100 is 147465.

56474100 is a `hidden beast` number, since 5 + 647 + 4 + 10 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56474101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117661 + ... + 118139.

Almost surely, 2^56474100 is an apocalyptic number.

56474100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56474100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

56474100 is an abundant number, since it is smaller than the sum of its proper divisors (122264460).

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

56474100 is a wasteful number, since it uses less digits than its factorization.

56474100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 56474100 is about 7514.9251493278. The cubic root of 56474100 is about 383.6628714260.

The spelling of 56474100 in words is "fifty-six million, four hundred seventy-four thousand, one hundred".