44872960 has 72 divisors (see below), whose sum is σ = 117292896. Its totient is φ = 16312320.

The previous prime is 44872957. The next prime is 44872969. The reversal of 44872960 is 6927844.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44872969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12487 + ... + 15673.

It is an arithmetic number, because the mean of its divisors is an integer number (1629068).

Almost surely, 2^44872960 is an apocalyptic number.

44872960 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 44872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58646448).

44872960 is an abundant number, since it is smaller than the sum of its proper divisors (72419936).

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

44872960 is a wasteful number, since it uses less digits than its factorization.

44872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 44872960 is about 6698.7282375090. The cubic root of 44872960 is about 355.3542981395.

Subtracting from 44872960 its reverse (6927844), we obtain a triangular number (37945116 = T₈₇₁₁).

It can be divided in two parts, 4487 and 2960, that added together give a palindrome (7447).

The spelling of 44872960 in words is "forty-four million, eight hundred seventy-two thousand, nine hundred sixty".