56445984 has 288 divisors, whose sum is σ = 204736896. Its totient is φ = 14929920.

The previous prime is 56445953. The next prime is 56445989. The reversal of 56445984 is 48954465.

56445984 is a `hidden beast` number, since 56 + 4 + 4 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×56445984² = 6372298219456512, which contains 22 as substring.

Its product of digits (691200) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56445989) 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 47 ways as a sum of consecutive naturals, for example, 925314 + ... + 925374.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 2^56445984 is an apocalyptic number.

56445984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56445984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

56445984 is an abundant number, since it is smaller than the sum of its proper divisors (148290912).

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

56445984 is a wasteful number, since it uses less digits than its factorization.

56445984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 56445984 is about 7513.0542391227. The cubic root of 56445984 is about 383.5991911671.

It can be divided in two parts, 5644 and 5984, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 56445984 in words is "fifty-six million, four hundred forty-five thousand, nine hundred eighty-four".