44832816 has 120 divisors (see below), whose sum is σ = 145466880. Its totient is φ = 12624768.

The previous prime is 44832779. The next prime is 44832829. The reversal of 44832816 is 61823844.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79351 + ... + 79913.

It is an arithmetic number, because the mean of its divisors is an integer number (1212224).

Almost surely, 2^44832816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44832816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72733440).

44832816 is an abundant number, since it is smaller than the sum of its proper divisors (100634064).

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

44832816 is a wasteful number, since it uses less digits than its factorization.

44832816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 654 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 44832816 is about 6695.7311773995. The cubic root of 44832816 is about 355.2482981560.

The spelling of 44832816 in words is "forty-four million, eight hundred thirty-two thousand, eight hundred sixteen".