45979520 has 32 divisors (see below), whose sum is σ = 109921320. Its totient is φ = 18391552.

The previous prime is 45979517. The next prime is 45979523. The reversal of 45979520 is 2597954.

45979520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45979517) and next prime (45979523).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×45979520² = 4228232518860800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45979523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35282 + ... + 36561.

Almost surely, 2^45979520 is an apocalyptic number.

45979520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45979520 is an abundant number, since it is smaller than the sum of its proper divisors (63941800).

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

45979520 is an equidigital number, since it uses as much as digits as its factorization.

45979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71862 (or 71850 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 45979520 is about 6780.8200094089. The cubic root of 45979520 is about 358.2516047007.

The spelling of 45979520 in words is "forty-five million, nine hundred seventy-nine thousand, five hundred twenty".