398178352 has 160 divisors (see below), whose sum is σ = 995561280. Its totient is φ = 151388160.

The previous prime is 398178343. The next prime is 398178419. The reversal of 398178352 is 253871893.

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, 1127808 + ... + 1128160.

It is an arithmetic number, because the mean of its divisors is an integer number (6222258).

Almost surely, 2^398178352 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 398178352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497780640).

398178352 is an abundant number, since it is smaller than the sum of its proper divisors (597382928).

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

398178352 is a wasteful number, since it uses less digits than its factorization.

398178352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 398178352 is about 19954.4068315748. The cubic root of 398178352 is about 735.6860960540.

The spelling of 398178352 in words is "three hundred ninety-eight million, one hundred seventy-eight thousand, three hundred fifty-two".