398512320 has 112 divisors (see below), whose sum is σ = 1269235968. Its totient is φ = 105937920.

The previous prime is 398512319. The next prime is 398512321. The reversal of 398512320 is 23215893.

It is an interprime number because it is at equal distance from previous prime (398512319) and next prime (398512321).

It is not an unprimeable number, because it can be changed into a prime (398512321) by changing a digit.

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, 547797 + ... + 548523.

It is an arithmetic number, because the mean of its divisors is an integer number (11332464).

Almost surely, 2^398512320 is an apocalyptic number.

398512320 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 398512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634617984).

398512320 is an abundant number, since it is smaller than the sum of its proper divisors (870723648).

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

398512320 is a wasteful number, since it uses less digits than its factorization.

398512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 398512320 is about 19962.7733544215. The cubic root of 398512320 is about 735.8917216263.

The spelling of 398512320 in words is "three hundred ninety-eight million, five hundred twelve thousand, three hundred twenty".