398296368 has 120 divisors (see below), whose sum is σ = 1142069760. Its totient is φ = 129548160.

The previous prime is 398296363. The next prime is 398296369. The reversal of 398296368 is 863692893.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (398296363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1666393 + ... + 1666631.

It is an arithmetic number, because the mean of its divisors is an integer number (9517248).

Almost surely, 2^398296368 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 398296368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571034880).

398296368 is an abundant number, since it is smaller than the sum of its proper divisors (743773392).

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

398296368 is a wasteful number, since it uses less digits than its factorization.

398296368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 478 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 398296368 is about 19957.3637537627. The cubic root of 398296368 is about 735.7587721579.

The spelling of 398296368 in words is "three hundred ninety-eight million, two hundred ninety-six thousand, three hundred sixty-eight".