44836416 has 147 divisors (see below), whose sum is σ = 137839323. Its totient is φ = 14463360.

The previous prime is 44836373. The next prime is 44836427. The reversal of 44836416 is 61463844.

The square root of 44836416 is 6696.

It is a perfect power (a square), and thus also a powerful number.

44836416 is a `hidden beast` number, since 4 + 4 + 8 + 3 + 641 + 6 = 666.

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.

Its product of digits (55296) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1446321 + ... + 1446351.

Almost surely, 2^44836416 is an apocalyptic number.

44836416 is the 6696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44836416

44836416 is an abundant number, since it is smaller than the sum of its proper divisors (93002907).

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

44836416 is an frugal number, since it uses more digits than its factorization.

44836416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 36 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The cubic root of 44836416 is about 355.2578065159.

Multiplying 44836416 by its sum of digits (36), we get a square (1614110976 = 40176²).

44836416 divided by its sum of digits (36) gives a square (1245456 = 1116²).

It can be divided in two parts, 448 and 36416, that added together give a square (36864 = 192²).

The spelling of 44836416 in words is "forty-four million, eight hundred thirty-six thousand, four hundred sixteen".