45437300 has 36 divisors (see below), whose sum is σ = 99496236. Its totient is φ = 18009600.

The previous prime is 45437299. The next prime is 45437321. The reversal of 45437300 is 373454.

45437300 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 20557156 + 24880144 = 4534^2 + 4988^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45437300.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 9290 + ... + 13310.

Almost surely, 2^45437300 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 45437300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49748118).

45437300 is an abundant number, since it is smaller than the sum of its proper divisors (54058936).

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

45437300 is a wasteful number, since it uses less digits than its factorization.

45437300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 45437300 is about 6740.7195461612. The cubic root of 45437300 is about 356.8377882484.

The spelling of 45437300 in words is "forty-five million, four hundred thirty-seven thousand, three hundred".