413322264 has 80 divisors (see below), whose sum is σ = 1189042800. Its totient is φ = 134042688.

The previous prime is 413322253. The next prime is 413322269. The reversal of 413322264 is 462223314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413322269) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 15357 + ... + 32595.

It is an arithmetic number, because the mean of its divisors is an integer number (14863035).

Almost surely, 2^413322264 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 413322264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594521400).

413322264 is an abundant number, since it is smaller than the sum of its proper divisors (775720536).

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

413322264 is a wasteful number, since it uses less digits than its factorization.

413322264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17294 (or 17281 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 413322264 is about 20330.3286741754. The cubic root of 413322264 is about 744.8970708963.

Adding to 413322264 its reverse (462223314), we get a palindrome (875545578).

The spelling of 413322264 in words is "four hundred thirteen million, three hundred twenty-two thousand, two hundred sixty-four".