45516800 has 144 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 15482880.

The previous prime is 45516781. The next prime is 45516811. The reversal of 45516800 is 861554.

It is a happy 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, 358337 + ... + 358463.

It is an arithmetic number, because the mean of its divisors is an integer number (902720).

Almost surely, 2^45516800 is an apocalyptic number.

45516800 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 45516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

45516800 is an abundant number, since it is smaller than the sum of its proper divisors (84474880).

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

45516800 is a wasteful number, since it uses less digits than its factorization.

45516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 45516800 is about 6746.6139655386. The cubic root of 45516800 is about 357.0457823785.

The spelling of 45516800 in words is "forty-five million, five hundred sixteen thousand, eight hundred".