45917920 has 24 divisors (see below), whose sum is σ = 108481464. Its totient is φ = 18367104.

The previous prime is 45917917. The next prime is 45917941. The reversal of 45917920 is 2971954.

45917920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45917920.

It is a congruent number.

It is an unprimeable number.

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, 143334 + ... + 143653.

It is an arithmetic number, because the mean of its divisors is an integer number (4520061).

Almost surely, 2^45917920 is an apocalyptic number.

45917920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45917920 is an abundant number, since it is smaller than the sum of its proper divisors (62563544).

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

45917920 is a wasteful number, since it uses less digits than its factorization.

45917920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287002 (or 286994 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 45917920 is about 6776.2762635536. The cubic root of 45917920 is about 358.0915467636.

The spelling of 45917920 in words is "forty-five million, nine hundred seventeen thousand, nine hundred twenty".