916646400 has 360 divisors, whose sum is σ = 3355869660. Its totient is φ = 238878720.

The previous prime is 916646387. The next prime is 916646453. The reversal of 916646400 is 4646619.

916646400 is a `hidden beast` number, since 9 + 1 + 6 + 6 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 452157696 + 464488704 = 21264^2 + 21552^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8409546 + ... + 8409654.

Almost surely, 2^916646400 is an apocalyptic number.

916646400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677934830).

916646400 is an abundant number, since it is smaller than the sum of its proper divisors (2439223260).

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

916646400 is a wasteful number, since it uses less digits than its factorization.

916646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 916646400 is about 30276.1688461404. The cubic root of 916646400 is about 971.4056214713.

It can be divided in two parts, 9 and 16646400, that multiplied together give a square (149817600 = 12240²).

The spelling of 916646400 in words is "nine hundred sixteen million, six hundred forty-six thousand, four hundred".