44864000 has 80 divisors (see below), whose sum is σ = 112030776. Its totient is φ = 17920000.

The previous prime is 44863999. The next prime is 44864011. The reversal of 44864000 is 46844.

It can be written as a sum of positive squares in 4 ways, for example, as 21977344 + 22886656 = 4688^2 + 4784^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×44864000³ (a number of 24 digits) contains 333 as substring.

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, 63650 + ... + 64350.

Almost surely, 2^44864000 is an apocalyptic number.

44864000 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 44864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56015388).

44864000 is an abundant number, since it is smaller than the sum of its proper divisors (67166776).

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

44864000 is an frugal number, since it uses more digits than its factorization.

44864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 44864000 is about 6698.0594204590. The cubic root of 44864000 is about 355.3306447971.

The spelling of 44864000 in words is "forty-four million, eight hundred sixty-four thousand".