413314104 has 64 divisors (see below), whose sum is σ = 1195165440. Its totient is φ = 116663040.

The previous prime is 413314093. The next prime is 413314123. The reversal of 413314104 is 401413314.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877 + ... + 28764.

It is an arithmetic number, because the mean of its divisors is an integer number (18674460).

Almost surely, 2^413314104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413314104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597582720).

413314104 is an abundant number, since it is smaller than the sum of its proper divisors (781851336).

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

413314104 is a wasteful number, since it uses less digits than its factorization.

413314104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29740 (or 29736 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 413314104 is about 20330.1279877919. The cubic root of 413314104 is about 744.8921688294.

Adding to 413314104 its reverse (401413314), we get a palindrome (814727418).

The spelling of 413314104 in words is "four hundred thirteen million, three hundred fourteen thousand, one hundred four".