413332401 has 16 divisors (see below), whose sum is σ = 561218048. Its totient is φ = 270591120.

The previous prime is 413332399. The next prime is 413332421. The reversal of 413332401 is 104233314.

It is not a de Polignac number, because 413332401 - 2¹ = 413332399 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413332421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680640 + ... + 681246.

It is an arithmetic number, because the mean of its divisors is an integer number (35076128).

Almost surely, 2^413332401 is an apocalyptic number.

It is an amenable number.

413332401 is a deficient number, since it is larger than the sum of its proper divisors (147885647).

413332401 is an frugal number, since it uses more digits than its factorization.

413332401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 413332401 is about 20330.5779799788. The cubic root of 413332401 is about 744.9031605431.

Adding to 413332401 its reverse (104233314), we get a palindrome (517565715).

It can be divided in two parts, 41333 and 2401, that added together give a palindrome (43734).

The spelling of 413332401 in words is "four hundred thirteen million, three hundred thirty-two thousand, four hundred one".