398984960 has 144 divisors (see below), whose sum is σ = 1068439680. Its totient is φ = 141496320.

The previous prime is 398984947. The next prime is 398985029. The reversal of 398984960 is 69489893.

It is a junction number, because it is equal to n+sod(n) for n = 398984896 and 398984905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605111 + ... + 605769.

It is an arithmetic number, because the mean of its divisors is an integer number (7419720).

Almost surely, 2^398984960 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 398984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534219840).

398984960 is an abundant number, since it is smaller than the sum of its proper divisors (669454720).

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

398984960 is a wasteful number, since it uses less digits than its factorization.

398984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 56.

The square root of 398984960 is about 19974.6078810073. The cubic root of 398984960 is about 736.1825319170.

The spelling of 398984960 in words is "three hundred ninety-eight million, nine hundred eighty-four thousand, nine hundred sixty".