398282803200 has 432 divisors, whose sum is σ = 1501495304400. Its totient is φ = 100616601600.

The previous prime is 398282803189. The next prime is 398282803211. The reversal of 398282803200 is 2308282893.

398282803200 is a `hidden beast` number, since 3 + 98 + 282 + 80 + 3 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (398282803189) and next prime (398282803211).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8732455 + ... + 8777945.

It is an arithmetic number, because the mean of its divisors is an integer number (3475683575).

Almost surely, 2^398282803200 is an apocalyptic number.

398282803200 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 398282803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750747652200).

398282803200 is an abundant number, since it is smaller than the sum of its proper divisors (1103212501200).

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

398282803200 is a wasteful number, since it uses less digits than its factorization.

398282803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45548 (or 45520 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 398282803200 in words is "three hundred ninety-eight billion, two hundred eighty-two million, eight hundred three thousand, two hundred".