398314243800 has 960 divisors, whose sum is σ = 1587375187200. Its totient is φ = 91626163200.

The previous prime is 398314243793. The next prime is 398314243813. The reversal of 398314243800 is 8342413893.

398314243800 is a `hidden beast` number, since 3 + 98 + 314 + 243 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 643479891 + ... + 643480509.

It is an arithmetic number, because the mean of its divisors is an integer number (1653515820).

Almost surely, 2^398314243800 is an apocalyptic number.

398314243800 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 398314243800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793687593600).

398314243800 is an abundant number, since it is smaller than the sum of its proper divisors (1189060943400).

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

398314243800 is a wasteful number, since it uses less digits than its factorization.

398314243800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 398314243800 in words is "three hundred ninety-eight billion, three hundred fourteen million, two hundred forty-three thousand, eight hundred".