45252200 has 48 divisors (see below), whose sum is σ = 120245280. Its totient is φ = 15514560.

The previous prime is 45252191. The next prime is 45252203. The reversal of 45252200 is 225254.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (45252203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14762 + ... + 17561.

It is an arithmetic number, because the mean of its divisors is an integer number (2505110).

Almost surely, 2^45252200 is an apocalyptic number.

45252200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45252200 is an abundant number, since it is smaller than the sum of its proper divisors (74993080).

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

45252200 is a wasteful number, since it uses less digits than its factorization.

45252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32346 (or 32337 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 45252200 is about 6726.9755462615. The cubic root of 45252200 is about 356.3525733159.

Adding to 45252200 its reverse (225254), we get a palindrome (45477454).

The spelling of 45252200 in words is "forty-five million, two hundred fifty-two thousand, two hundred".