916484800 has 336 divisors, whose sum is σ = 2893600512. Its totient is φ = 277401600.

The previous prime is 916484747. The next prime is 916484867. The reversal of 916484800 is 8484619.

916484800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5297514 + ... + 5297686.

Almost surely, 2^916484800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446800256).

916484800 is an abundant number, since it is smaller than the sum of its proper divisors (1977115712).

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

916484800 is a wasteful number, since it uses less digits than its factorization.

916484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 916484800 is about 30273.4999628388. The cubic root of 916484800 is about 971.3485335276.

The spelling of 916484800 in words is "nine hundred sixteen million, four hundred eighty-four thousand, eight hundred".