413211330 has 96 divisors (see below), whose sum is σ = 1281256704. Its totient is φ = 90338688.

The previous prime is 413211319. The next prime is 413211347. The reversal of 413211330 is 33112314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232 + ... + 28748.

It is an arithmetic number, because the mean of its divisors is an integer number (13346424).

Almost surely, 2^413211330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640628352).

413211330 is an abundant number, since it is smaller than the sum of its proper divisors (868045374).

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

413211330 is a wasteful number, since it uses less digits than its factorization.

413211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28560 (or 28557 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 413211330 is about 20327.6002026801. The cubic root of 413211330 is about 744.8304224939.

Adding to 413211330 its reverse (33112314), we get a palindrome (446323644).

The spelling of 413211330 in words is "four hundred thirteen million, two hundred eleven thousand, three hundred thirty".