398412364560 has 640 divisors, whose sum is σ = 1532610478080. Its totient is φ = 83619993600.

The previous prime is 398412364543. The next prime is 398412364613. The reversal of 398412364560 is 65463214893.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156915771 + ... + 156918309.

It is an arithmetic number, because the mean of its divisors is an integer number (2394703872).

Almost surely, 2^398412364560 is an apocalyptic number.

398412364560 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 398412364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766305239040).

398412364560 is an abundant number, since it is smaller than the sum of its proper divisors (1134198113520).

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

398412364560 is a wasteful number, since it uses less digits than its factorization.

398412364560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 398412364560 in words is "three hundred ninety-eight billion, four hundred twelve million, three hundred sixty-four thousand, five hundred sixty".