413122000 has 80 divisors (see below), whose sum is σ = 1014167232. Its totient is φ = 162729600.

The previous prime is 413121977. The next prime is 413122001. The reversal of 413122000 is 221314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132459 + ... + 135541.

Almost surely, 2^413122000 is an apocalyptic number.

413122000 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 413122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507083616).

413122000 is an abundant number, since it is smaller than the sum of its proper divisors (601045232).

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

413122000 is a wasteful number, since it uses less digits than its factorization.

413122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 413122000 is about 20325.4028250365. The cubic root of 413122000 is about 744.7767449589.

Adding to 413122000 its reverse (221314), we get a palindrome (413343314).

The spelling of 413122000 in words is "four hundred thirteen million, one hundred twenty-two thousand".