398578320 has 480 divisors, whose sum is σ = 1657393920. Its totient is φ = 87091200.

The previous prime is 398578307. The next prime is 398578337. The reversal of 398578320 is 23875893.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3946270 + ... + 3946370.

It is an arithmetic number, because the mean of its divisors is an integer number (3452904).

Almost surely, 2^398578320 is an apocalyptic number.

398578320 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 398578320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828696960).

398578320 is an abundant number, since it is smaller than the sum of its proper divisors (1258815600).

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

398578320 is a wasteful number, since it uses less digits than its factorization.

398578320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 398578320 is about 19964.4263629086. The cubic root of 398578320 is about 735.9323445215.

The spelling of 398578320 in words is "three hundred ninety-eight million, five hundred seventy-eight thousand, three hundred twenty".