413205044 has 36 divisors (see below), whose sum is σ = 842328900. Its totient is φ = 176843520.

The previous prime is 413205031. The next prime is 413205049. The reversal of 413205044 is 440502314.

It can be written as a sum of positive squares in 2 ways, for example, as 103022500 + 310182544 = 10150^2 + 17612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413205049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265982 + ... + 267530.

It is an arithmetic number, because the mean of its divisors is an integer number (23398025).

Almost surely, 2^413205044 is an apocalyptic number.

It is an amenable number.

413205044 is an abundant number, since it is smaller than the sum of its proper divisors (429123856).

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

413205044 is a wasteful number, since it uses less digits than its factorization.

413205044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 413205044 is about 20327.4455847261. The cubic root of 413205044 is about 744.8266455502.

Adding to 413205044 its reverse (440502314), we get a palindrome (853707358).

It can be divided in two parts, 41320 and 5044, that added together give a palindrome (46364).

The spelling of 413205044 in words is "four hundred thirteen million, two hundred five thousand, forty-four".