44724960 has 480 divisors, whose sum is σ = 197588160. Its totient is φ = 9289728.

The previous prime is 44724923. The next prime is 44724961. The reversal of 44724960 is 6942744.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44724961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1542226 + ... + 1542254.

It is an arithmetic number, because the mean of its divisors is an integer number (411642).

Almost surely, 2^44724960 is an apocalyptic number.

44724960 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 44724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794080).

44724960 is an abundant number, since it is smaller than the sum of its proper divisors (152863200).

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

44724960 is a wasteful number, since it uses less digits than its factorization.

44724960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 44724960 is about 6687.6722407726. The cubic root of 44724960 is about 354.9631913168.

The spelling of 44724960 in words is "forty-four million, seven hundred twenty-four thousand, nine hundred sixty".