398304192 has 224 divisors, whose sum is σ = 1259677440. Its totient is φ = 109486080.

The previous prime is 398304173. The next prime is 398304209. The reversal of 398304192 is 291403893.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 398304192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2443503 + ... + 2443665.

It is an arithmetic number, because the mean of its divisors is an integer number (5623560).

Almost surely, 2^398304192 is an apocalyptic number.

398304192 is a gapful number since it is divisible by the number (32) 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 398304192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629838720).

398304192 is an abundant number, since it is smaller than the sum of its proper divisors (861373248).

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

398304192 is a wasteful number, since it uses less digits than its factorization.

398304192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 398304192 is about 19957.5597706734. The cubic root of 398304192 is about 735.7635897924.

It can be divided in two parts, 398 and 304192, that added together give a triangular number (304590 = T₇₈₀).

The spelling of 398304192 in words is "three hundred ninety-eight million, three hundred four thousand, one hundred ninety-two".