916966400 has 396 divisors, whose sum is σ = 2864702808. Its totient is φ = 289013760.

The previous prime is 916966373. The next prime is 916966441. The reversal of 916966400 is 4669619.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 21324779 + ... + 21324821.

It is an arithmetic number, because the mean of its divisors is an integer number (7234098).

Almost surely, 2^916966400 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 916966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432351404).

916966400 is an abundant number, since it is smaller than the sum of its proper divisors (1947736408).

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

916966400 is a wasteful number, since it uses less digits than its factorization.

916966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 916966400 is about 30281.4530694945. The cubic root of 916966400 is about 971.5186471097.

The spelling of 916966400 in words is "nine hundred sixteen million, nine hundred sixty-six thousand, four hundred".