45207200 has 36 divisors (see below), whose sum is σ = 110364030. Its totient is φ = 18082560.

The previous prime is 45207181. The next prime is 45207223. The reversal of 45207200 is 270254.

It can be written as a sum of positive squares in 3 ways, for example, as 34527376 + 10679824 = 5876^2 + 3268^2 .

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

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, 27455 + ... + 29054.

Almost surely, 2^45207200 is an apocalyptic number.

45207200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45207200 is an abundant number, since it is smaller than the sum of its proper divisors (65156830).

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

45207200 is a wasteful number, since it uses less digits than its factorization.

45207200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56529 (or 56516 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 45207200 is about 6723.6299719720. The cubic root of 45207200 is about 356.2344119577.

Adding to 45207200 its reverse (270254), we get a palindrome (45477454).

The spelling of 45207200 in words is "forty-five million, two hundred seven thousand, two hundred".