916466400 has 180 divisors, whose sum is σ = 3342411072. Its totient is φ = 244373760.

The previous prime is 916466377. The next prime is 916466477. The reversal of 916466400 is 4664619.

916466400 is a `hidden beast` number, since 9 + 1 + 6 + 4 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 57729 + ... + 71871.

Almost surely, 2^916466400 is an apocalyptic number.

916466400 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 916466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671205536).

916466400 is an abundant number, since it is smaller than the sum of its proper divisors (2425944672).

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

916466400 is a wasteful number, since it uses less digits than its factorization.

916466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14175 (or 14153 counting only the distinct ones).

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

The square root of 916466400 is about 30273.1960651663. The cubic root of 916466400 is about 971.3420329897.

The spelling of 916466400 in words is "nine hundred sixteen million, four hundred sixty-six thousand, four hundred".