45819720 has 48 divisors (see below), whose sum is σ = 148915260. Its totient is φ = 12218496.

The previous prime is 45819707. The next prime is 45819737. The reversal of 45819720 is 2791854.

45819720 is a `hidden beast` number, since 4 + 581 + 9 + 72 + 0 = 666.

45819720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45239076 + 580644 = 6726^2 + 762^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 63279 + ... + 63998.

Almost surely, 2^45819720 is an apocalyptic number.

45819720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45819720 is an abundant number, since it is smaller than the sum of its proper divisors (103095540).

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

45819720 is a wasteful number, since it uses less digits than its factorization.

45819720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127294 (or 127287 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 45819720 is about 6769.0265178975. The cubic root of 45819720 is about 357.8360932111.

The spelling of 45819720 in words is "forty-five million, eight hundred nineteen thousand, seven hundred twenty".