44400480 has 96 divisors (see below), whose sum is σ = 140815584. Its totient is φ = 11759616.

The previous prime is 44400443. The next prime is 44400523. The reversal of 44400480 is 8400444.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 44400480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111642 + ... + 112038.

It is an arithmetic number, because the mean of its divisors is an integer number (1466829).

Almost surely, 2^44400480 is an apocalyptic number.

44400480 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 44400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70407792).

44400480 is an abundant number, since it is smaller than the sum of its proper divisors (96415104).

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

44400480 is a wasteful number, since it uses less digits than its factorization.

44400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 44400480 is about 6663.3685174992. The cubic root of 44400480 is about 354.1026865434.

The spelling of 44400480 in words is "forty-four million, four hundred thousand, four hundred eighty".