398332967760 has 1440 divisors, whose sum is σ = 1830461592960. Its totient is φ = 79573487616.

The previous prime is 398332967737. The next prime is 398332967761. The reversal of 398332967760 is 67769233893.

398332967760 is a `hidden beast` number, since 3 + 98 + 332 + 96 + 77 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398332967761) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 235281474 + ... + 235283166.

It is an arithmetic number, because the mean of its divisors is an integer number (1271153884).

Almost surely, 2^398332967760 is an apocalyptic number.

398332967760 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 398332967760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915230796480).

398332967760 is an abundant number, since it is smaller than the sum of its proper divisors (1432128625200).

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

398332967760 is a wasteful number, since it uses less digits than its factorization.

398332967760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 398332967760 in words is "three hundred ninety-eight billion, three hundred thirty-two million, nine hundred sixty-seven thousand, seven hundred sixty".