44957920 has 96 divisors (see below), whose sum is σ = 122689728. Its totient is φ = 15249408.

The previous prime is 44957879. The next prime is 44957947. The reversal of 44957920 is 2975944.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153294 + ... + 153586.

It is an arithmetic number, because the mean of its divisors is an integer number (1278018).

It is the magic constant of a 448 × 448 magic square.

Almost surely, 2^44957920 is an apocalyptic number.

44957920 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 44957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61344864).

44957920 is an abundant number, since it is smaller than the sum of its proper divisors (77731808).

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

44957920 is a wasteful number, since it uses less digits than its factorization.

44957920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 44957920 is about 6705.0667409057. The cubic root of 44957920 is about 355.5784261909.

The spelling of 44957920 in words is "forty-four million, nine hundred fifty-seven thousand, nine hundred twenty".