213330304 has 64 divisors (see below), whose sum is σ = 468449280. Its totient is φ = 95961600.

The previous prime is 213330289. The next prime is 213330307. The reversal of 213330304 is 403033312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213330307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144289 + ... + 145759.

It is an arithmetic number, because the mean of its divisors is an integer number (7319520).

Almost surely, 2^213330304 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 213330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234224640).

213330304 is an abundant number, since it is smaller than the sum of its proper divisors (255118976).

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

213330304 is a wasteful number, since it uses less digits than its factorization.

213330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 213330304 is about 14605.8311642987. The cubic root of 213330304 is about 597.5178045966.

Adding to 213330304 its reverse (403033312), we get a palindrome (616363616).

The spelling of 213330304 in words is "two hundred thirteen million, three hundred thirty thousand, three hundred four".