45832900 has 27 divisors (see below), whose sum is σ = 99604519. Its totient is φ = 18306080.

The previous prime is 45832873. The next prime is 45832907. The reversal of 45832900 is 923854.

The square root of 45832900 is 6770.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13205956 + 32626944 = 3634^2 + 5712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45832907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67362 + ... + 68038.

Almost surely, 2^45832900 is an apocalyptic number.

45832900 is the 6770-th square number.

It is an amenable number.

45832900 is an abundant number, since it is smaller than the sum of its proper divisors (53771619).

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

45832900 is an equidigital number, since it uses as much as digits as its factorization.

45832900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 45832900 is about 357.8704003287.

The spelling of 45832900 in words is "forty-five million, eight hundred thirty-two thousand, nine hundred".