56477280 has 96 divisors (see below), whose sum is σ = 179885664. Its totient is φ = 14893056.

The previous prime is 56477279. The next prime is 56477293. The reversal of 56477280 is 8277465.

56477280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45954 + ... + 47166.

It is an arithmetic number, because the mean of its divisors is an integer number (1873809).

Almost surely, 2^56477280 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 56477280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89942832).

56477280 is an abundant number, since it is smaller than the sum of its proper divisors (123408384).

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

56477280 is a wasteful number, since it uses less digits than its factorization.

56477280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 56477280 is about 7515.1367253031. The cubic root of 56477280 is about 383.6700725148.

The spelling of 56477280 in words is "fifty-six million, four hundred seventy-seven thousand, two hundred eighty".