398193408 has 216 divisors, whose sum is σ = 1229858448. Its totient is φ = 128397312.

The previous prime is 398193391. The next prime is 398193449. The reversal of 398193408 is 804391893.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2301610 + ... + 2301782.

Almost surely, 2^398193408 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 398193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614929224).

398193408 is an abundant number, since it is smaller than the sum of its proper divisors (831665040).

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

398193408 is an equidigital number, since it uses as much as digits as its factorization.

398193408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 398193408 is about 19954.7840880326. The cubic root of 398193408 is about 735.6953685740.

The spelling of 398193408 in words is "three hundred ninety-eight million, one hundred ninety-three thousand, four hundred eight".