45358900 has 36 divisors (see below), whose sum is σ = 101829420. Its totient is φ = 17516800.

The previous prime is 45358891. The next prime is 45358903. The reversal of 45358900 is 985354.

45358900 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 6 ways, for example, as 2377764 + 42981136 = 1542^2 + 6556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45358903) 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 11 ways as a sum of consecutive naturals, for example, 4921 + ... + 10720.

It is an arithmetic number, because the mean of its divisors is an integer number (2828595).

Almost surely, 2^45358900 is an apocalyptic number.

It is an amenable number.

45358900 is an abundant number, since it is smaller than the sum of its proper divisors (56470520).

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

45358900 is a wasteful number, since it uses less digits than its factorization.

45358900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15684 (or 15677 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 45358900 is about 6734.9016325407. The cubic root of 45358900 is about 356.6324342879.

The spelling of 45358900 in words is "forty-five million, three hundred fifty-eight thousand, nine hundred".