413322 has 32 divisors (see below), whose sum is σ = 1018752. Its totient is φ = 108864.

The previous prime is 413299. The next prime is 413353. The reversal of 413322 is 223314.

It is an unprimeable number.

413322 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (31836).

2⁴¹³³²² is an apocalyptic number.

413322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 413322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509376).

413322 is an abundant number, since it is smaller than the sum of its proper divisors (605430).

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

413322 is a wasteful number, since it uses less digits than its factorization.

413322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782.

The product of its digits is 144, while the sum is 15.

The square root of 413322 is about 642.9012365830. The cubic root of 413322 is about 74.4896912301.

Adding to 413322 its reverse (223314), we get a palindrome (636636).

The spelling of 413322 in words is "four hundred thirteen thousand, three hundred twenty-two".