398209064 has 48 divisors (see below), whose sum is σ = 829018260. Its totient is φ = 179168000.

The previous prime is 398209057. The next prime is 398209069. The reversal of 398209064 is 460902893.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 396408100 + 1800964 = 19910^2 + 1342^2 .

It is a super-3 number, since 3×398209064³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (398209069) 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 11 ways as a sum of consecutive naturals, for example, 95732 + ... + 99804.

Almost surely, 2^398209064 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 398209064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414509130).

398209064 is an abundant number, since it is smaller than the sum of its proper divisors (430809196).

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

398209064 is a wasteful number, since it uses less digits than its factorization.

398209064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 398209064 is about 19955.1763710572. The cubic root of 398209064 is about 735.7050103674.

It can be divided in two parts, 39820 and 9064, that added together give a palindrome (48884).

The spelling of 398209064 in words is "three hundred ninety-eight million, two hundred nine thousand, sixty-four".