398560320 has 84 divisors (see below), whose sum is σ = 1370891340. Its totient is φ = 106281984.

The previous prime is 398560319. The next prime is 398560333. The reversal of 398560320 is 23065893.

398560320 is a `hidden beast` number, since 3 + 98 + 560 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69355584 + 329204736 = 8328^2 + 18144^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 66315 + ... + 72074.

It is an arithmetic number, because the mean of its divisors is an integer number (16320135).

Almost surely, 2^398560320 is an apocalyptic number.

398560320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

398560320 is an abundant number, since it is smaller than the sum of its proper divisors (972331020).

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

398560320 is a wasteful number, since it uses less digits than its factorization.

398560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138412 (or 138399 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 398560320 is about 19963.9755559858. The cubic root of 398560320 is about 735.9212659948.

The spelling of 398560320 in words is "three hundred ninety-eight million, five hundred sixty thousand, three hundred twenty".