413635320 has 384 divisors, whose sum is σ = 1657843200. Its totient is φ = 87340032.

The previous prime is 413635309. The next prime is 413635333. The reversal of 413635320 is 23536314.

It is a happy number.

413635320 is a `hidden beast` number, since 4 + 1 + 3 + 635 + 3 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2537559 + ... + 2537721.

It is an arithmetic number, because the mean of its divisors is an integer number (4317300).

Almost surely, 2^413635320 is an apocalyptic number.

413635320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413635320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828921600).

413635320 is an abundant number, since it is smaller than the sum of its proper divisors (1244207880).

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

413635320 is a wasteful number, since it uses less digits than its factorization.

413635320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 413635320 is about 20338.0264529280. The cubic root of 413635320 is about 745.0850885503.

The spelling of 413635320 in words is "four hundred thirteen million, six hundred thirty-five thousand, three hundred twenty".