398168784 has 100 divisors (see below), whose sum is σ = 1241115876. Its totient is φ = 122508288.

The previous prime is 398168783. The next prime is 398168857. The reversal of 398168784 is 487861893.

It can be written as a sum of positive squares in 2 ways, for example, as 217857600 + 180311184 = 14760^2 + 13428^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 398168784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398168783) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5032 + ... + 28664.

Almost surely, 2^398168784 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 398168784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620557938).

398168784 is an abundant number, since it is smaller than the sum of its proper divisors (842947092).

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

398168784 is a wasteful number, since it uses less digits than its factorization.

398168784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23666 (or 23651 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 398168784 is about 19954.1670835943. The cubic root of 398168784 is about 735.6802033002.

The spelling of 398168784 in words is "three hundred ninety-eight million, one hundred sixty-eight thousand, seven hundred eighty-four".