413530288 has 40 divisors (see below), whose sum is σ = 850104320. Its totient is φ = 194322240.

The previous prime is 413530237. The next prime is 413530289. The reversal of 413530288 is 882035314.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (413530289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33253 + ... + 43963.

It is an arithmetic number, because the mean of its divisors is an integer number (21252608).

Almost surely, 2^413530288 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 413530288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425052160).

413530288 is an abundant number, since it is smaller than the sum of its proper divisors (436574032).

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

413530288 is a wasteful number, since it uses less digits than its factorization.

413530288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10865 (or 10859 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 413530288 is about 20335.4441308765. Note that the first 3 decimals coincide. The cubic root of 413530288 is about 745.0220181772.

The spelling of 413530288 in words is "four hundred thirteen million, five hundred thirty thousand, two hundred eighty-eight".