56577480 has 128 divisors (see below), whose sum is σ = 178606080. Its totient is φ = 14319360.

The previous prime is 56577467. The next prime is 56577487. The reversal of 56577480 is 8477565.

It is a super-2 number, since 2×56577480² = 6402022486300800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56577487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249127 + ... + 249353.

It is an arithmetic number, because the mean of its divisors is an integer number (1395360).

Almost surely, 2^56577480 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 56577480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89303040).

56577480 is an abundant number, since it is smaller than the sum of its proper divisors (122028600).

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

56577480 is a wasteful number, since it uses less digits than its factorization.

56577480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 56577480 is about 7521.8003164136. The cubic root of 56577480 is about 383.8968364364.

The spelling of 56577480 in words is "fifty-six million, five hundred seventy-seven thousand, four hundred eighty".