44964864 has 264 divisors, whose sum is σ = 160943328. Its totient is φ = 11796480.

The previous prime is 44964863. The next prime is 44964883. The reversal of 44964864 is 46846944.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44964863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096684 + ... + 1096724.

Almost surely, 2^44964864 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 44964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80471664).

44964864 is an abundant number, since it is smaller than the sum of its proper divisors (115978464).

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

44964864 is a wasteful number, since it uses less digits than its factorization.

44964864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 70 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 44964864 is about 6705.5845382785. The cubic root of 44964864 is about 355.5967322682.

The spelling of 44964864 in words is "forty-four million, nine hundred sixty-four thousand, eight hundred sixty-four".