413608320 has 96 divisors (see below), whose sum is σ = 1428261120. Its totient is φ = 110294016.

The previous prime is 413608313. The next prime is 413608361. The reversal of 413608320 is 23806314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 30144 + ... + 41663.

It is an arithmetic number, because the mean of its divisors is an integer number (14877720).

Almost surely, 2^413608320 is an apocalyptic number.

413608320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413608320 is an abundant number, since it is smaller than the sum of its proper divisors (1014652800).

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

413608320 is a wasteful number, since it uses less digits than its factorization.

413608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71832 (or 71817 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 413608320 is about 20337.3626608762. The cubic root of 413608320 is about 745.0688764151.

The spelling of 413608320 in words is "four hundred thirteen million, six hundred eight thousand, three hundred twenty".