56446080 has 64 divisors (see below), whose sum is σ = 179928000. Its totient is φ = 15051776.

The previous prime is 56446079. The next prime is 56446081. The reversal of 56446080 is 8064465.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56446079) and next prime (56446081).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (56446081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12780 + ... + 16619.

It is an arithmetic number, because the mean of its divisors is an integer number (2811375).

Almost surely, 2^56446080 is an apocalyptic number.

It is an amenable number.

56446080 is an abundant number, since it is smaller than the sum of its proper divisors (123481920).

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

56446080 is a wasteful number, since it uses less digits than its factorization.

56446080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29421 (or 29409 counting only the distinct ones).

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

The square root of 56446080 is about 7513.0606279998. The cubic root of 56446080 is about 383.5994086346.

The spelling of 56446080 in words is "fifty-six million, four hundred forty-six thousand, eighty".