413320110 has 128 divisors (see below), whose sum is σ = 1210982400. Its totient is φ = 88179840.

The previous prime is 413320067. The next prime is 413320111. The reversal of 413320110 is 11023314.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 413320110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413320111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282561 + ... + 284019.

It is an arithmetic number, because the mean of its divisors is an integer number (9460800).

Almost surely, 2^413320110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413320110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605491200).

413320110 is an abundant number, since it is smaller than the sum of its proper divisors (797662290).

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

413320110 is a wasteful number, since it uses less digits than its factorization.

413320110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 413320110 is about 20330.2756990652. The cubic root of 413320110 is about 744.8957769011.

Adding to 413320110 its reverse (11023314), we get a palindrome (424343424).

The spelling of 413320110 in words is "four hundred thirteen million, three hundred twenty thousand, one hundred ten".