44868320 has 144 divisors (see below), whose sum is σ = 126690480. Its totient is φ = 14966784.

The previous prime is 44868311. The next prime is 44868349. The reversal of 44868320 is 2386844.

It is a super-2 number, since 2×44868320² = 4026332279244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462512 + ... + 462608.

It is an arithmetic number, because the mean of its divisors is an integer number (879795).

Almost surely, 2^44868320 is an apocalyptic number.

44868320 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 44868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63345240).

44868320 is an abundant number, since it is smaller than the sum of its proper divisors (81822160).

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

44868320 is a wasteful number, since it uses less digits than its factorization.

44868320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 44868320 is about 6698.3818941592. The cubic root of 44868320 is about 355.3420494803.

The spelling of 44868320 in words is "forty-four million, eight hundred sixty-eight thousand, three hundred twenty".