398584420 has 48 divisors (see below), whose sum is σ = 908587008. Its totient is φ = 145998720.

The previous prime is 398584379. The next prime is 398584423. The reversal of 398584420 is 24485893.

It is not an unprimeable number, because it can be changed into a prime (398584423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26985 + ... + 39055.

It is an arithmetic number, because the mean of its divisors is an integer number (18928896).

Almost surely, 2^398584420 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 398584420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454293504).

398584420 is an abundant number, since it is smaller than the sum of its proper divisors (510002588).

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

398584420 is a wasteful number, since it uses less digits than its factorization.

398584420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12220 (or 12218 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 398584420 is about 19964.5791340564. The cubic root of 398584420 is about 735.9360988354.

The spelling of 398584420 in words is "three hundred ninety-eight million, five hundred eighty-four thousand, four hundred twenty".