45274900 has 72 divisors (see below), whose sum is σ = 108743040. Its totient is φ = 16224000.

The previous prime is 45274883. The next prime is 45274909. The reversal of 45274900 is 947254.

45274900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45274909) 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 23 ways as a sum of consecutive naturals, for example, 86640 + ... + 87160.

It is an arithmetic number, because the mean of its divisors is an integer number (1510320).

Almost surely, 2^45274900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45274900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54371520).

45274900 is an abundant number, since it is smaller than the sum of its proper divisors (63468140).

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

45274900 is a wasteful number, since it uses less digits than its factorization.

45274900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 45274900 is about 6728.6625714179. The cubic root of 45274900 is about 356.4121494336.

The spelling of 45274900 in words is "forty-five million, two hundred seventy-four thousand, nine hundred".