398398176 has 240 divisors, whose sum is σ = 1300788720. Its totient is φ = 118609920.

The previous prime is 398398159. The next prime is 398398177. The reversal of 398398176 is 671893893.

It is a super-2 number, since 2×398398176² = 317442213280253952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398398177) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2537490 + ... + 2537646.

It is an arithmetic number, because the mean of its divisors is an integer number (5419953).

Almost surely, 2^398398176 is an apocalyptic number.

398398176 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 398398176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650394360).

398398176 is an abundant number, since it is smaller than the sum of its proper divisors (902390544).

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

398398176 is a wasteful number, since it uses less digits than its factorization.

398398176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 398398176 is about 19959.9142282726. The cubic root of 398398176 is about 735.8214555881.

The spelling of 398398176 in words is "three hundred ninety-eight million, three hundred ninety-eight thousand, one hundred seventy-six".