993408000 has 352 divisors, whose sum is σ = 3576518400. Its totient is φ = 243302400.

The previous prime is 993407981. The next prime is 993408001. The reversal of 993408000 is 804399.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993408001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4991901 + ... + 4992099.

Almost surely, 2^993408000 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 993408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788259200).

993408000 is an abundant number, since it is smaller than the sum of its proper divisors (2583110400).

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

993408000 is a wasteful number, since it uses less digits than its factorization.

993408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 993408000 is about 31518.3755926602. The cubic root of 993408000 is about 997.7978206326.

The spelling of 993408000 in words is "nine hundred ninety-three million, four hundred eight thousand".