413013222 has 64 divisors (see below), whose sum is σ = 977184000. Its totient is φ = 128931264.

The previous prime is 413013199. The next prime is 413013239. The reversal of 413013222 is 222310314.

413013222 is a `hidden beast` number, since 41 + 301 + 322 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 413013195 and 413013204.

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, 89053 + ... + 93575.

It is an arithmetic number, because the mean of its divisors is an integer number (15268500).

Almost surely, 2^413013222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413013222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488592000).

413013222 is an abundant number, since it is smaller than the sum of its proper divisors (564170778).

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

413013222 is a wasteful number, since it uses less digits than its factorization.

413013222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413013222 is about 20322.7267363413. The cubic root of 413013222 is about 744.7113708592.

Adding to 413013222 its reverse (222310314), we get a palindrome (635323536).

The spelling of 413013222 in words is "four hundred thirteen million, thirteen thousand, two hundred twenty-two".