413222004 has 36 divisors (see below), whose sum is σ = 1124883396. Its totient is φ = 127145088.

The previous prime is 413221997. The next prime is 413222063. The reversal of 413222004 is 400222314.

It can be written as a sum of positive squares in 2 ways, for example, as 73925604 + 339296400 = 8598^2 + 18420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441009 + ... + 441944.

It is an arithmetic number, because the mean of its divisors is an integer number (31246761).

Almost surely, 2^413222004 is an apocalyptic number.

It is an amenable number.

413222004 is an abundant number, since it is smaller than the sum of its proper divisors (711661392).

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

413222004 is a wasteful number, since it uses less digits than its factorization.

413222004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882976 (or 882971 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 413222004 is about 20327.8627504221. The cubic root of 413222004 is about 744.8368358801.

Adding to 413222004 its reverse (400222314), we get a palindrome (813444318).

The spelling of 413222004 in words is "four hundred thirteen million, two hundred twenty-two thousand, four".