45633200 has 30 divisors (see below), whose sum is σ = 109634724. Its totient is φ = 18253120.

The previous prime is 45633197. The next prime is 45633221. The reversal of 45633200 is 233654.

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, 56642 + ... + 57441.

Almost surely, 2^45633200 is an apocalyptic number.

45633200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45633200 is an abundant number, since it is smaller than the sum of its proper divisors (64001524).

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

45633200 is a wasteful number, since it uses less digits than its factorization.

45633200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114101 (or 114090 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 45633200 is about 6755.2350070149. The cubic root of 45633200 is about 357.3498807342.

Adding to 45633200 its reverse (233654), we get a palindrome (45866854).

The spelling of 45633200 in words is "forty-five million, six hundred thirty-three thousand, two hundred".