45237200 has 30 divisors (see below), whose sum is σ = 108683334. Its totient is φ = 18094720.

The previous prime is 45237197. The next prime is 45237209. The reversal of 45237200 is 273254.

It can be written as a sum of positive squares in 3 ways, for example, as 5345344 + 39891856 = 2312^2 + 6316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45237209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56147 + ... + 56946.

Almost surely, 2^45237200 is an apocalyptic number.

45237200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45237200 is an abundant number, since it is smaller than the sum of its proper divisors (63446134).

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

45237200 is a wasteful number, since it uses less digits than its factorization.

45237200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113111 (or 113100 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 45237200 is about 6725.8605397376. The cubic root of 45237200 is about 356.3131949039.

The spelling of 45237200 in words is "forty-five million, two hundred thirty-seven thousand, two hundred".