916273200 has 120 divisors (see below), whose sum is σ = 3029933056. Its totient is φ = 236448000.

The previous prime is 916273153. The next prime is 916273219. The reversal of 916273200 is 2372619.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 24885 + ... + 49515.

Almost surely, 2^916273200 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 916273200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514966528).

916273200 is an abundant number, since it is smaller than the sum of its proper divisors (2113659856).

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

916273200 is a wasteful number, since it uses less digits than its factorization.

916273200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24683 (or 24672 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 916273200 is about 30270.0049554010. The cubic root of 916273200 is about 971.2737720877.

The spelling of 916273200 in words is "nine hundred sixteen million, two hundred seventy-three thousand, two hundred".