413535330 has 96 divisors (see below), whose sum is σ = 1161800640. Its totient is φ = 101450880.

The previous prime is 413535293. The next prime is 413535337. The reversal of 413535330 is 33535314.

It is a happy number.

It is a super-2 number, since 2×413535330² = 342022938316417800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 413535294 and 413535303.

It is not an unprimeable number, because it can be changed into a prime (413535337) 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 47 ways as a sum of consecutive naturals, for example, 667761 + ... + 668379.

It is an arithmetic number, because the mean of its divisors is an integer number (12102090).

Almost surely, 2^413535330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413535330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580900320).

413535330 is an abundant number, since it is smaller than the sum of its proper divisors (748265310).

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

413535330 is a wasteful number, since it uses less digits than its factorization.

413535330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 413535330 is about 20335.5681012358. The cubic root of 413535330 is about 745.0250460778.

The spelling of 413535330 in words is "four hundred thirteen million, five hundred thirty-five thousand, three hundred thirty".