44966400 has 120 divisors (see below), whose sum is σ = 148670544. Its totient is φ = 11980800.

The previous prime is 44966393. The next prime is 44966413. The reversal of 44966400 is 466944.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37815 + ... + 38985.

Almost surely, 2^44966400 is an apocalyptic number.

44966400 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 44966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74335272).

44966400 is an abundant number, since it is smaller than the sum of its proper divisors (103704144).

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

44966400 is a wasteful number, since it uses less digits than its factorization.

44966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 44966400 is about 6705.6990687027. The cubic root of 44966400 is about 355.6007812842.

The spelling of 44966400 in words is "forty-four million, nine hundred sixty-six thousand, four hundred".