413214320 has 80 divisors (see below), whose sum is σ = 1016934912. Its totient is φ = 155823360.

The previous prime is 413214289. The next prime is 413214323. The reversal of 413214320 is 23412314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 413214292 and 413214301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413214323) 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 15 ways as a sum of consecutive naturals, for example, 129059 + ... + 132221.

Almost surely, 2^413214320 is an apocalyptic number.

413214320 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 413214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508467456).

413214320 is an abundant number, since it is smaller than the sum of its proper divisors (603720592).

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

413214320 is a wasteful number, since it uses less digits than its factorization.

413214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 413214320 is about 20327.6737478739. The cubic root of 413214320 is about 744.8322190222.

Adding to 413214320 its reverse (23412314), we get a palindrome (436626634).

The spelling of 413214320 in words is "four hundred thirteen million, two hundred fourteen thousand, three hundred twenty".