413022324 has 96 divisors (see below), whose sum is σ = 1138161024. Its totient is φ = 114923520.

The previous prime is 413022317. The next prime is 413022341. The reversal of 413022324 is 423220314.

It is a self number, because there is not a number n which added to its sum of digits gives 413022324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399312 + ... + 400344.

It is an arithmetic number, because the mean of its divisors is an integer number (11855844).

Almost surely, 2^413022324 is an apocalyptic number.

413022324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413022324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569080512).

413022324 is an abundant number, since it is smaller than the sum of its proper divisors (725138700).

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

413022324 is a wasteful number, since it uses less digits than its factorization.

413022324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 413022324 is about 20322.9506715929. The cubic root of 413022324 is about 744.7168414775.

Adding to 413022324 its reverse (423220314), we get a palindrome (836242638).

The spelling of 413022324 in words is "four hundred thirteen million, twenty-two thousand, three hundred twenty-four".