210304413 has 36 divisors (see below), whose sum is σ = 337051260. Its totient is φ = 126255360.

The previous prime is 210304373. The next prime is 210304417. The reversal of 210304413 is 314403012.

It can be written as a sum of positive squares in 2 ways, for example, as 17288964 + 193015449 = 4158^2 + 13893^2 .

It is not a de Polignac number, because 210304413 - 2⁹ = 210303901 is a prime.

It is a super-4 number, since 4×210304413⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210304417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122203 + ... + 123911.

It is an arithmetic number, because the mean of its divisors is an integer number (9362535).

Almost surely, 2^210304413 is an apocalyptic number.

It is an amenable number.

210304413 is a deficient number, since it is larger than the sum of its proper divisors (126746847).

210304413 is a wasteful number, since it uses less digits than its factorization.

210304413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 210304413 is about 14501.8761889626. The cubic root of 210304413 is about 594.6792640890.

Adding to 210304413 its reverse (314403012), we get a palindrome (524707425).

The spelling of 210304413 in words is "two hundred ten million, three hundred four thousand, four hundred thirteen".