44120400 has 60 divisors (see below), whose sum is σ = 141336192. Its totient is φ = 11765120.

The previous prime is 44120369. The next prime is 44120429. The reversal of 44120400 is 402144.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 44120400.

It is a congruent number.

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, 17184 + ... + 19583.

Almost surely, 2^44120400 is an apocalyptic number.

44120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44120400 is an abundant number, since it is smaller than the sum of its proper divisors (97215792).

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

44120400 is a wasteful number, since it uses less digits than its factorization.

44120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36788 (or 36777 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 44120400 is about 6642.3188722012. The cubic root of 44120400 is about 353.3565508259.

Adding to 44120400 its reverse (402144), we get a palindrome (44522544).

The spelling of 44120400 in words is "forty-four million, one hundred twenty thousand, four hundred".