56464080 has 160 divisors (see below), whose sum is σ = 187059456. Its totient is φ = 14057472.

The previous prime is 56464069. The next prime is 56464081. The reversal of 56464080 is 8046465.

It is a happy number.

56464080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56464081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 292464 + ... + 292656.

Almost surely, 2^56464080 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 56464080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93529728).

56464080 is an abundant number, since it is smaller than the sum of its proper divisors (130595376).

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

56464080 is a wasteful number, since it uses less digits than its factorization.

56464080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 56464080 is about 7514.2584464470. The cubic root of 56464080 is about 383.6401794347.

The spelling of 56464080 in words is "fifty-six million, four hundred sixty-four thousand, eighty".