43921920 has 320 divisors, whose sum is σ = 172846080. Its totient is φ = 9289728.

The previous prime is 43921919. The next prime is 43921937. The reversal of 43921920 is 2912934.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021419 + ... + 1021461.

It is an arithmetic number, because the mean of its divisors is an integer number (540144).

Almost surely, 2^43921920 is an apocalyptic number.

43921920 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 43921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040).

43921920 is an abundant number, since it is smaller than the sum of its proper divisors (128924160).

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

43921920 is a wasteful number, since it uses less digits than its factorization.

43921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 43921920 is about 6627.3614659229. The cubic root of 43921920 is about 352.8258844342.

The spelling of 43921920 in words is "forty-three million, nine hundred twenty-one thousand, nine hundred twenty".