996408000 has 448 divisors, whose sum is σ = 4184294400. Its totient is φ = 227404800.

The previous prime is 996407999. The next prime is 996408019. The reversal of 996408000 is 804699.

996408000 is a `hidden beast` number, since 9 + 9 + 640 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511671 + ... + 1512329.

Almost surely, 2^996408000 is an apocalyptic number.

996408000 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 996408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092147200).

996408000 is an abundant number, since it is smaller than the sum of its proper divisors (3187886400).

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

996408000 is a wasteful number, since it uses less digits than its factorization.

996408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 996408000 is about 31565.9310016353. The cubic root of 996408000 is about 998.8012301918.

The spelling of 996408000 in words is "nine hundred ninety-six million, four hundred eight thousand".