398262208 has 56 divisors (see below), whose sum is σ = 833347584. Its totient is φ = 188563200.

The previous prime is 398262203. The next prime is 398262209. The reversal of 398262208 is 802262893.

It is a super-2 number, since 2×398262208² = 317225572642070528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398262203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91113 + ... + 95383.

Almost surely, 2^398262208 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 398262208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416673792).

398262208 is an abundant number, since it is smaller than the sum of its proper divisors (435085376).

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

398262208 is a wasteful number, since it uses less digits than its factorization.

398262208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 398262208 is about 19956.5079109548. The cubic root of 398262208 is about 735.7377373706.

The spelling of 398262208 in words is "three hundred ninety-eight million, two hundred sixty-two thousand, two hundred eight".