398533887360 has 1728 divisors, whose sum is σ = 1753762402080. Its totient is φ = 82975850496.

The previous prime is 398533887289. The next prime is 398533887379. The reversal of 398533887360 is 63788335893.

398533887360 is a `hidden beast` number, since 3 + 98 + 533 + 8 + 8 + 7 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5459368284 + ... + 5459368356.

Almost surely, 2^398533887360 is an apocalyptic number.

398533887360 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 398533887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876881201040).

398533887360 is an abundant number, since it is smaller than the sum of its proper divisors (1355228514720).

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

398533887360 is a wasteful number, since it uses less digits than its factorization.

398533887360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 398533887360 in words is "three hundred ninety-eight billion, five hundred thirty-three million, eight hundred eighty-seven thousand, three hundred sixty".