45228800 has 108 divisors (see below), whose sum is σ = 115575936. Its totient is φ = 17510400.

The previous prime is 45228791. The next prime is 45228803. The reversal of 45228800 is 882254.

It is not an unprimeable number, because it can be changed into a prime (45228803) 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, 236705 + ... + 236895.

Almost surely, 2^45228800 is an apocalyptic number.

45228800 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 45228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57787968).

45228800 is an abundant number, since it is smaller than the sum of its proper divisors (70347136).

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

45228800 is a wasteful number, since it uses less digits than its factorization.

45228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 45228800 is about 6725.2360553366. The cubic root of 45228800 is about 356.2911391909.

The spelling of 45228800 in words is "forty-five million, two hundred twenty-eight thousand, eight hundred".