398439934893 has 192 divisors, whose sum is σ = 840311926272. Its totient is φ = 174958755840.

The previous prime is 398439934877. The next prime is 398439934909.

398439934893 is a `hidden beast` number, since 39 + 84 + 3 + 99 + 348 + 93 = 666.

398439934893 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (398439934877) and next prime (398439934909).

It is not a de Polignac number, because 398439934893 - 2⁴ = 398439934877 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398439934843) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5631505 + ... + 5701817.

It is an arithmetic number, because the mean of its divisors is an integer number (4376624616).

Almost surely, 2^398439934893 is an apocalyptic number.

398439934893 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

398439934893 is an abundant number, since it is smaller than the sum of its proper divisors (441871991379).

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

398439934893 is a wasteful number, since it uses less digits than its factorization.

398439934893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70404 (or 70401 counting only the distinct ones).

The product of its digits is 544195584, while the sum is 72.

The spelling of 398439934893 in words is "three hundred ninety-eight billion, four hundred thirty-nine million, nine hundred thirty-four thousand, eight hundred ninety-three".