413324384 has 36 divisors (see below), whose sum is σ = 894441492. Its totient is φ = 187872960.

The previous prime is 413324363. The next prime is 413324389. The reversal of 413324384 is 483423314.

It is a super-3 number, since 3×413324384³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 413324384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413324389) 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 5 ways as a sum of consecutive naturals, for example, 49502 + ... + 57245.

It is an arithmetic number, because the mean of its divisors is an integer number (24845597).

Almost surely, 2^413324384 is an apocalyptic number.

413324384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

413324384 is an abundant number, since it is smaller than the sum of its proper divisors (481117108).

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

413324384 is a wasteful number, since it uses less digits than its factorization.

413324384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106779 (or 106760 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 413324384 is about 20330.3808129607. The cubic root of 413324384 is about 744.8983444619.

Adding to 413324384 its reverse (483423314), we get a palindrome (896747698).

The spelling of 413324384 in words is "four hundred thirteen million, three hundred twenty-four thousand, three hundred eighty-four".