45292900 has 27 divisors (see below), whose sum is σ = 98431851. Its totient is φ = 18090240.

The previous prime is 45292883. The next prime is 45292937. The reversal of 45292900 is 929254.

The square root of 45292900 is 6730.

It is a perfect power (a square), and thus also a powerful number.

45292900 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 4435236 + 40857664 = 2106^2 + 6392^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 66964 + ... + 67636.

Almost surely, 2^45292900 is an apocalyptic number.

45292900 is the 6730-th square number.

It is an amenable number.

45292900 is an abundant number, since it is smaller than the sum of its proper divisors (53138951).

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

45292900 is an equidigital number, since it uses as much as digits as its factorization.

45292900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 45292900 is about 356.4593762538.

The spelling of 45292900 in words is "forty-five million, two hundred ninety-two thousand, nine hundred".