398315701800 has 960 divisors, whose sum is σ = 1545527530800. Its totient is φ = 94600396800.

The previous prime is 398315701787. The next prime is 398315701807. The reversal of 398315701800 is 8107513893.

398315701800 is a `hidden beast` number, since 3 + 98 + 315 + 70 + 180 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 14661819396 + 383653882404 = 121086^2 + 619398^2 .

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

It is not an unprimeable number, because it can be changed into a prime (398315701807) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 423289330 + ... + 423290270.

Almost surely, 2^398315701800 is an apocalyptic number.

398315701800 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 398315701800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772763765400).

398315701800 is an abundant number, since it is smaller than the sum of its proper divisors (1147211829000).

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

398315701800 is a wasteful number, since it uses less digits than its factorization.

398315701800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 398315701800 in words is "three hundred ninety-eight billion, three hundred fifteen million, seven hundred one thousand, eight hundred".