44400864 has 48 divisors (see below), whose sum is σ = 117612432. Its totient is φ = 14665728.

The previous prime is 44400857. The next prime is 44400883. The reversal of 44400864 is 46800444.

44400864 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8802 + ... + 12894.

It is an arithmetic number, because the mean of its divisors is an integer number (2450259).

Almost surely, 2^44400864 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 44400864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58806216).

44400864 is an abundant number, since it is smaller than the sum of its proper divisors (73211568).

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

44400864 is a wasteful number, since it uses less digits than its factorization.

44400864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4211 counting only the distinct ones).

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

The square root of 44400864 is about 6663.3973316920. The cubic root of 44400864 is about 354.1037073660.

The spelling of 44400864 in words is "forty-four million, four hundred thousand, eight hundred sixty-four".