45900520 has 32 divisors (see below), whose sum is σ = 103948200. Its totient is φ = 18240768.

The previous prime is 45900509. The next prime is 45900521. The reversal of 45900520 is 2500954.

45900520 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 4 ways, for example, as 31292836 + 14607684 = 5594^2 + 3822^2 .

It is not an unprimeable number, because it can be changed into a prime (45900521) 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 7 ways as a sum of consecutive naturals, for example, 2626 + ... + 9934.

Almost surely, 2^45900520 is an apocalyptic number.

45900520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45900520 is an abundant number, since it is smaller than the sum of its proper divisors (58047680).

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

45900520 is a wasteful number, since it uses less digits than its factorization.

45900520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477 (or 7473 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 45900520 is about 6774.9922509181. The cubic root of 45900520 is about 358.0463096673.

The spelling of 45900520 in words is "forty-five million, nine hundred thousand, five hundred twenty".