45713920 has 80 divisors (see below), whose sum is σ = 125313408. Its totient is φ = 15667200.

The previous prime is 45713909. The next prime is 45713929. The reversal of 45713920 is 2931754.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (45713929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16645 + ... + 19195.

Almost surely, 2^45713920 is an apocalyptic number.

45713920 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 45713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62656704).

45713920 is an abundant number, since it is smaller than the sum of its proper divisors (79599488).

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

45713920 is an equidigital number, since it uses as much as digits as its factorization.

45713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 45713920 is about 6761.2069928379. The cubic root of 45713920 is about 357.5604605390.

The spelling of 45713920 in words is "forty-five million, seven hundred thirteen thousand, nine hundred twenty".