398848000 has 208 divisors, whose sum is σ = 1073348640. Its totient is φ = 147456000.

The previous prime is 398847989. The next prime is 398848003. The reversal of 398848000 is 848893.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398848003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9727980 + ... + 9728020.

It is an arithmetic number, because the mean of its divisors is an integer number (5160330).

Almost surely, 2^398848000 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 398848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536674320).

398848000 is an abundant number, since it is smaller than the sum of its proper divisors (674500640).

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

398848000 is an equidigital number, since it uses as much as digits as its factorization.

398848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 398848000 is about 19971.1792340863. The cubic root of 398848000 is about 736.0982855511.

The spelling of 398848000 in words is "three hundred ninety-eight million, eight hundred forty-eight thousand".