398064960 has 168 divisors, whose sum is σ = 1385453160. Its totient is φ = 104890368.

The previous prime is 398064959. The next prime is 398064971. The reversal of 398064960 is 69460893.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 395850816 = 1488^2 + 19896^2 .

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 255544 + ... + 257096.

It is an arithmetic number, because the mean of its divisors is an integer number (8246745).

Almost surely, 2^398064960 is an apocalyptic number.

398064960 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 398064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692726580).

398064960 is an abundant number, since it is smaller than the sum of its proper divisors (987388200).

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

398064960 is a wasteful number, since it uses less digits than its factorization.

398064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 398064960 is about 19951.5653521221. The cubic root of 398064960 is about 735.6162539531.

The spelling of 398064960 in words is "three hundred ninety-eight million, sixty-four thousand, nine hundred sixty".