413911296 has 90 divisors (see below), whose sum is σ = 1234270422. Its totient is φ = 137963520.

The previous prime is 413911271. The next prime is 413911297. The reversal of 413911296 is 692119314.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 406425600 + 7485696 = 20160^2 + 2736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 413911296.

It is not an unprimeable number, because it can be changed into a prime (413911297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10756 + ... + 30716.

Almost surely, 2^413911296 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 413911296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617135211).

413911296 is an abundant number, since it is smaller than the sum of its proper divisors (820359126).

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

413911296 is an equidigital number, since it uses as much as digits as its factorization.

413911296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19989 (or 19966 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 413911296 is about 20344.8100507230. The cubic root of 413911296 is about 745.2507577428.

The spelling of 413911296 in words is "four hundred thirteen million, nine hundred eleven thousand, two hundred ninety-six".