398680320 has 144 divisors (see below), whose sum is σ = 1300965120. Its totient is φ = 104052736.

The previous prime is 398680309. The next prime is 398680339. The reversal of 398680320 is 23086893.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 940 × 564 × 752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8482537 + ... + 8482583.

It is an arithmetic number, because the mean of its divisors is an integer number (9034480).

Almost surely, 2^398680320 is an apocalyptic number.

398680320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650482560).

398680320 is an abundant number, since it is smaller than the sum of its proper divisors (902284800).

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

398680320 is an frugal number, since it uses more digits than its factorization.

398680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 398680320 is about 19966.9807432170. The cubic root of 398680320 is about 735.9951165397.

The spelling of 398680320 in words is "three hundred ninety-eight million, six hundred eighty thousand, three hundred twenty".