398023560576 has 192 divisors, whose sum is σ = 1183010524800. Its totient is φ = 128317685760.

The previous prime is 398023560563. The next prime is 398023560581. The reversal of 398023560576 is 675065320893.

It is a happy number.

398023560576 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 2 + 3 + 5 + 60 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113169570 + ... + 113173086.

It is an arithmetic number, because the mean of its divisors is an integer number (6161513150).

Almost surely, 2^398023560576 is an apocalyptic number.

398023560576 is a gapful number since it is divisible by the number (36) 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 398023560576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591505262400).

398023560576 is an abundant number, since it is smaller than the sum of its proper divisors (784986964224).

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

398023560576 is a wasteful number, since it uses less digits than its factorization.

398023560576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6737 (or 6722 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 398023560576 in words is "three hundred ninety-eight billion, twenty-three million, five hundred sixty thousand, five hundred seventy-six".