946166400 has 384 divisors, whose sum is σ = 3551558400. Its totient is φ = 245882880.

The previous prime is 946166371. The next prime is 946166423. The reversal of 946166400 is 4661649.

946166400 is a `hidden beast` number, since 9 + 4 + 6 + 1 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 4060684 + ... + 4060916.

It is an arithmetic number, because the mean of its divisors is an integer number (9248850).

Almost surely, 2^946166400 is an apocalyptic number.

946166400 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 946166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775779200).

946166400 is an abundant number, since it is smaller than the sum of its proper divisors (2605392000).

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

946166400 is a wasteful number, since it uses less digits than its factorization.

946166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 290 counting only the distinct ones).

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

The square root of 946166400 is about 30759.8179448449. The cubic root of 946166400 is about 981.7234701007.

The spelling of 946166400 in words is "nine hundred forty-six million, one hundred sixty-six thousand, four hundred".