398380320 has 216 divisors, whose sum is σ = 1472991156. Its totient is φ = 98002944.

The previous prime is 398380303. The next prime is 398380321. The reversal of 398380320 is 23083893.

It can be written as a sum of positive squares in 6 ways, for example, as 138384 + 398241936 = 372^2 + 19956^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (398380321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242542 + ... + 244178.

Almost surely, 2^398380320 is an apocalyptic number.

398380320 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 398380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736495578).

398380320 is an abundant number, since it is smaller than the sum of its proper divisors (1074610836).

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

398380320 is a wasteful number, since it uses less digits than its factorization.

398380320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 398380320 is about 19959.4669267493. The cubic root of 398380320 is about 735.8104623783.

The spelling of 398380320 in words is "three hundred ninety-eight million, three hundred eighty thousand, three hundred twenty".