398272000 has 240 divisors, whose sum is σ = 1164354048. Its totient is φ = 135475200.

The previous prime is 398271983. The next prime is 398272027. The reversal of 398272000 is 272893.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3135937 + ... + 3136063.

Almost surely, 2^398272000 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 398272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582177024).

398272000 is an abundant number, since it is smaller than the sum of its proper divisors (766082048).

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

398272000 is an equidigital number, since it uses as much as digits as its factorization.

398272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 398272000 is about 19956.7532429501. The cubic root of 398272000 is about 735.7437671375.

The spelling of 398272000 in words is "three hundred ninety-eight million, two hundred seventy-two thousand".