334809564 has 48 divisors (see below), whose sum is σ = 826089600. Its totient is φ = 105247296.

The previous prime is 334809521. The next prime is 334809569. The reversal of 334809564 is 465908433.

It is a super-2 number, since 2×334809564² = 224194888291740192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334809569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48522 + ... + 54990.

It is an arithmetic number, because the mean of its divisors is an integer number (17210200).

Almost surely, 2^334809564 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 334809564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413044800).

334809564 is an abundant number, since it is smaller than the sum of its proper divisors (491280036).

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

334809564 is a wasteful number, since it uses less digits than its factorization.

334809564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 334809564 is about 18297.8021631014. The cubic root of 334809564 is about 694.3833282212.

The spelling of 334809564 in words is "three hundred thirty-four million, eight hundred nine thousand, five hundred sixty-four".