45216800 has 72 divisors (see below), whose sum is σ = 114250500. Its totient is φ = 17454080.

The previous prime is 45216793. The next prime is 45216803. The reversal of 45216800 is 861254.

It can be written as a sum of positive squares in 6 ways, for example, as 24167056 + 21049744 = 4916^2 + 4588^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45216800.

It is not an unprimeable number, because it can be changed into a prime (45216803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22226 + ... + 24174.

Almost surely, 2^45216800 is an apocalyptic number.

45216800 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 45216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57125250).

45216800 is an abundant number, since it is smaller than the sum of its proper divisors (69033700).

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

45216800 is a wasteful number, since it uses less digits than its factorization.

45216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 45216800 is about 6724.3438341596. The cubic root of 45216800 is about 356.2596262916.

The spelling of 45216800 in words is "forty-five million, two hundred sixteen thousand, eight hundred".