413201404 has 48 divisors (see below), whose sum is σ = 905135616. Its totient is φ = 160344000.

The previous prime is 413201381. The next prime is 413201407. The reversal of 413201404 is 404102314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413201407) 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, 78454 + ... + 83554.

It is an arithmetic number, because the mean of its divisors is an integer number (18856992).

Almost surely, 2^413201404 is an apocalyptic number.

413201404 is a gapful number since it is divisible by the number (44) 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 413201404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452567808).

413201404 is an abundant number, since it is smaller than the sum of its proper divisors (491934212).

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

413201404 is a wasteful number, since it uses less digits than its factorization.

413201404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5386 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 413201404 is about 20327.3560504066. The cubic root of 413201404 is about 744.8244584384.

Adding to 413201404 its reverse (404102314), we get a palindrome (817303718).

It can be divided in two parts, 41320 and 1404, that added together give a palindrome (42724).

The spelling of 413201404 in words is "four hundred thirteen million, two hundred one thousand, four hundred four".