45333200 has 60 divisors (see below), whose sum is σ = 118825728. Its totient is φ = 16483200.

The previous prime is 45333193. The next prime is 45333217. The reversal of 45333200 is 233354.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 752 + ... + 9551.

Almost surely, 2^45333200 is an apocalyptic number.

45333200 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 45333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59412864).

45333200 is an abundant number, since it is smaller than the sum of its proper divisors (73492528).

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

45333200 is a wasteful number, since it uses less digits than its factorization.

45333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10332 (or 10321 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 45333200 is about 6732.9933907587. The cubic root of 45333200 is about 356.5650665083.

Adding to 45333200 its reverse (233354), we get a palindrome (45566554).

The spelling of 45333200 in words is "forty-five million, three hundred thirty-three thousand, two hundred".