398638176 has 144 divisors (see below), whose sum is σ = 1126062000. Its totient is φ = 123325440.

The previous prime is 398638171. The next prime is 398638189. The reversal of 398638176 is 671836893.

It is a super-3 number, since 3×398638176³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398638171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2675350 + ... + 2675498.

It is an arithmetic number, because the mean of its divisors is an integer number (7819875).

Almost surely, 2^398638176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398638176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563031000).

398638176 is an abundant number, since it is smaller than the sum of its proper divisors (727423824).

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

398638176 is a wasteful number, since it uses less digits than its factorization.

398638176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 214 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 398638176 is about 19965.9253729949. The cubic root of 398638176 is about 735.9691819169.

The spelling of 398638176 in words is "three hundred ninety-eight million, six hundred thirty-eight thousand, one hundred seventy-six".