213504304 has 40 divisors (see below), whose sum is σ = 449939952. Its totient is φ = 97555200.

The previous prime is 213504301. The next prime is 213504307. The reversal of 213504304 is 403405312.

It is an interprime number because it is at equal distance from previous prime (213504301) and next prime (213504307).

It is not an unprimeable number, because it can be changed into a prime (213504301) 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 7 ways as a sum of consecutive naturals, for example, 15927 + ... + 26089.

Almost surely, 2^213504304 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 213504304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224969976).

213504304 is an abundant number, since it is smaller than the sum of its proper divisors (236435648).

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

213504304 is a wasteful number, since it uses less digits than its factorization.

213504304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10285 (or 10279 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 213504304 is about 14611.7864753082. The cubic root of 213504304 is about 597.6802129091.

Adding to 213504304 its reverse (403405312), we get a palindrome (616909616).

The spelling of 213504304 in words is "two hundred thirteen million, five hundred four thousand, three hundred four".