44400640 has 64 divisors (see below), whose sum is σ = 106953120. Its totient is φ = 17694720.

The previous prime is 44400611. The next prime is 44400641. The reversal of 44400640 is 4600444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44400641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163705 + ... + 163975.

Almost surely, 2^44400640 is an apocalyptic number.

44400640 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 44400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53476560).

44400640 is an abundant number, since it is smaller than the sum of its proper divisors (62552480).

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

44400640 is an frugal number, since it uses more digits than its factorization.

44400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 278 counting only the distinct ones).

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

The square root of 44400640 is about 6663.3805234280. The cubic root of 44400640 is about 354.1031118869.

The spelling of 44400640 in words is "forty-four million, four hundred thousand, six hundred forty".