56477880 has 192 divisors, whose sum is σ = 202176000. Its totient is φ = 13609728.

The previous prime is 56477867. The next prime is 56477881. The reversal of 56477880 is 8877465.

56477880 is a `hidden beast` number, since 564 + 7 + 7 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56477881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157141 + ... + 157499.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 2^56477880 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 56477880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101088000).

56477880 is an abundant number, since it is smaller than the sum of its proper divisors (145698120).

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

56477880 is a wasteful number, since it uses less digits than its factorization.

56477880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 56477880 is about 7515.1766446305. The cubic root of 56477880 is about 383.6714311805.

The spelling of 56477880 in words is "fifty-six million, four hundred seventy-seven thousand, eight hundred eighty".