413323000 has 128 divisors (see below), whose sum is σ = 1018368000. Its totient is φ = 156816000.

The previous prime is 413322983. The next prime is 413323019. The reversal of 413323000 is 323314.

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, 2076901 + ... + 2077099.

It is an arithmetic number, because the mean of its divisors is an integer number (7956000).

Almost surely, 2^413323000 is an apocalyptic number.

413323000 is a gapful number since it is divisible by the number (40) 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 413323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509184000).

413323000 is an abundant number, since it is smaller than the sum of its proper divisors (605045000).

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

413323000 is a wasteful number, since it uses less digits than its factorization.

413323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 413323000 is about 20330.3467752028. The cubic root of 413323000 is about 744.8975130403.

Adding to 413323000 its reverse (323314), we get a palindrome (413646314).

The spelling of 413323000 in words is "four hundred thirteen million, three hundred twenty-three thousand".