398558160 has 720 divisors, whose sum is σ = 1852381440. Its totient is φ = 75479040.

The previous prime is 398558141. The next prime is 398558161. The reversal of 398558160 is 61855893.

398558160 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 581 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (398558161) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 5045001 + ... + 5045079.

It is an arithmetic number, because the mean of its divisors is an integer number (2572752).

Almost surely, 2^398558160 is an apocalyptic number.

398558160 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 398558160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926190720).

398558160 is an abundant number, since it is smaller than the sum of its proper divisors (1453823280).

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

398558160 is a wasteful number, since it uses less digits than its factorization.

398558160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 398558160 is about 19963.9214584710. The cubic root of 398558160 is about 735.9199365492.

The spelling of 398558160 in words is "three hundred ninety-eight million, five hundred fifty-eight thousand, one hundred sixty".