44864400 has 240 divisors, whose sum is σ = 169136000. Its totient is φ = 10160640.

The previous prime is 44864399. The next prime is 44864419. The reversal of 44864400 is 446844.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 411546 + ... + 411654.

Almost surely, 2^44864400 is an apocalyptic number.

44864400 is a gapful number since it is divisible by the number (40) 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 44864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84568000).

44864400 is an abundant number, since it is smaller than the sum of its proper divisors (124271600).

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

44864400 is a wasteful number, since it uses less digits than its factorization.

44864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 44864400 is about 6698.0892797872. The cubic root of 44864400 is about 355.3317008171.

The spelling of 44864400 in words is "forty-four million, eight hundred sixty-four thousand, four hundred".