916830400 has 168 divisors, whose sum is σ = 2455932096. Its totient is φ = 335462400.

The previous prime is 916830371. The next prime is 916830413. The reversal of 916830400 is 4038619.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1005945 + ... + 1006855.

Almost surely, 2^916830400 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 916830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227966048).

916830400 is an abundant number, since it is smaller than the sum of its proper divisors (1539101696).

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

916830400 is a wasteful number, since it uses less digits than its factorization.

916830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 916830400 is about 30279.2073872484. The cubic root of 916830400 is about 971.4706144269.

The spelling of 916830400 in words is "nine hundred sixteen million, eight hundred thirty thousand, four hundred".