45875200 has 114 divisors (see below), whose sum is σ = 130023176. Its totient is φ = 15728640.

The previous prime is 45875191. The next prime is 45875237. The reversal of 45875200 is 257854.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6553597 + ... + 6553603.

Almost surely, 2^45875200 is an apocalyptic number.

45875200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65011588).

45875200 is an abundant number, since it is smaller than the sum of its proper divisors (84147976).

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

45875200 is an frugal number, since it uses more digits than its factorization.

45875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 45875200 is about 6773.1233563254. The cubic root of 45875200 is about 357.9804614660.

Multiplying 45875200 by its product of nonzero digits (11200), we get a square (513802240000 = 716800²).

45875200 divided by its product of nonzero digits (11200) gives a 12-th power (4096 = 2¹²).

The spelling of 45875200 in words is "forty-five million, eight hundred seventy-five thousand, two hundred".