398716876800 has 648 divisors, whose sum is σ = 1569777496560. Its totient is φ = 96645120000.

The previous prime is 398716876777. The next prime is 398716876807. The reversal of 398716876800 is 8678617893.

398716876800 is a `hidden beast` number, since 398 + 7 + 168 + 7 + 6 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398716876807) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 55753225 + ... + 55760375.

Almost surely, 2^398716876800 is an apocalyptic number.

398716876800 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 398716876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784888748280).

398716876800 is an abundant number, since it is smaller than the sum of its proper divisors (1171060619760).

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

398716876800 is a wasteful number, since it uses less digits than its factorization.

398716876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7211 (or 7172 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 398716876800 in words is "three hundred ninety-eight billion, seven hundred sixteen million, eight hundred seventy-six thousand, eight hundred".