398992795200 has 378 divisors, whose sum is σ = 1496700006594. Its totient is φ = 100796866560.

The previous prime is 398992795193. The next prime is 398992795211. The reversal of 398992795200 is 2597299893.

398992795200 is a `hidden beast` number, since 3 + 9 + 89 + 9 + 27 + 9 + 520 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2425365504 + 396567429696 = 49248^2 + 629736^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5160024 + ... + 5236776.

Almost surely, 2^398992795200 is an apocalyptic number.

398992795200 is a gapful number since it is divisible by the number (30) 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 398992795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748350003297).

398992795200 is an abundant number, since it is smaller than the sum of its proper divisors (1097707211394).

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

398992795200 is a wasteful number, since it uses less digits than its factorization.

398992795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76819 (or 76782 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 398992795200 in words is "three hundred ninety-eight billion, nine hundred ninety-two million, seven hundred ninety-five thousand, two hundred".