45533200 has 60 divisors (see below), whose sum is σ = 111091600. Its totient is φ = 17930880.

The previous prime is 45533197. The next prime is 45533207. The reversal of 45533200 is 233554.

It is not an unprimeable number, because it can be changed into a prime (45533207) 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, 25951 + ... + 27649.

Almost surely, 2^45533200 is an apocalyptic number.

45533200 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 45533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55545800).

45533200 is an abundant number, since it is smaller than the sum of its proper divisors (65558400).

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

45533200 is a wasteful number, since it uses less digits than its factorization.

45533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 45533200 is about 6747.8292805909. The cubic root of 45533200 is about 357.0886592042.

Adding to 45533200 its reverse (233554), we get a palindrome (45766754).

The spelling of 45533200 in words is "forty-five million, five hundred thirty-three thousand, two hundred".