44464000 has 128 divisors (see below), whose sum is σ = 126659520. Its totient is φ = 15206400.

The previous prime is 44463997. The next prime is 44464001. The reversal of 44464000 is 46444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44464001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111802 + ... + 112198.

Almost surely, 2^44464000 is an apocalyptic number.

44464000 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 44464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63329760).

44464000 is an abundant number, since it is smaller than the sum of its proper divisors (82195520).

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

44464000 is an equidigital number, since it uses as much as digits as its factorization.

44464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 44464000 is about 6668.1331720355. The cubic root of 44464000 is about 354.2714676398.

The spelling of 44464000 in words is "forty-four million, four hundred sixty-four thousand".