916878400 has 63 divisors (see below), whose sum is σ = 2259078159. Its totient is φ = 366266880.

The previous prime is 916878377. The next prime is 916878419. The reversal of 916878400 is 4878619.

The square root of 916878400 is 30280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 916393984 = 696^2 + 30272^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1210822 + ... + 1211578.

Almost surely, 2^916878400 is an apocalyptic number.

916878400 is the 30280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916878400

916878400 is an abundant number, since it is smaller than the sum of its proper divisors (1342199759).

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

916878400 is an frugal number, since it uses more digits than its factorization.

916878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The cubic root of 916878400 is about 971.4875676808.

The spelling of 916878400 in words is "nine hundred sixteen million, eight hundred seventy-eight thousand, four hundred".