398587320 has 144 divisors (see below), whose sum is σ = 1367622360. Its totient is φ = 100662912.

The previous prime is 398587297. The next prime is 398587327. The reversal of 398587320 is 23785893.

398587320 is a `hidden beast` number, since 39 + 8 + 587 + 32 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398587327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128427 + ... + 131493.

Almost surely, 2^398587320 is an apocalyptic number.

398587320 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 398587320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683811180).

398587320 is an abundant number, since it is smaller than the sum of its proper divisors (969035040).

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

398587320 is a wasteful number, since it uses less digits than its factorization.

398587320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3096 counting only the distinct ones).

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

The square root of 398587320 is about 19964.6517625527. The cubic root of 398587320 is about 735.9378836597.

It can be divided in two parts, 3985873 and 20, that added together give a palindrome (3985893).

The spelling of 398587320 in words is "three hundred ninety-eight million, five hundred eighty-seven thousand, three hundred twenty".