413224680 has 192 divisors, whose sum is σ = 1378944000. Its totient is φ = 98982400.

The previous prime is 413224663. The next prime is 413224687. The reversal of 413224680 is 86422314.

It is a super-2 number, since 2×413224680² = 341509272322204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (413224687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2163385 + ... + 2163575.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^413224680 is an apocalyptic number.

413224680 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 413224680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

413224680 is an abundant number, since it is smaller than the sum of its proper divisors (965719320).

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

413224680 is a wasteful number, since it uses less digits than its factorization.

413224680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 413224680 is about 20327.9285713031. The cubic root of 413224680 is about 744.8384437156.

Adding to 413224680 its reverse (86422314), we get a palindrome (499646994).

The spelling of 413224680 in words is "four hundred thirteen million, two hundred twenty-four thousand, six hundred eighty".