413420224 has 28 divisors (see below), whose sum is σ = 937579024. Its totient is φ = 177179904.

The previous prime is 413420209. The next prime is 413420269. The reversal of 413420224 is 422024314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×413420224² = 341832563224420352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413420195 and 413420204.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 460959 + ... + 461854.

Almost surely, 2^413420224 is an apocalyptic number.

It is an amenable number.

413420224 is an abundant number, since it is smaller than the sum of its proper divisors (524158800).

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

413420224 is an equidigital number, since it uses as much as digits as its factorization.

413420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922832 (or 922822 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 413420224 is about 20332.7377399110. The cubic root of 413420224 is about 744.9559146923.

Adding to 413420224 its reverse (422024314), we get a palindrome (835444538).

The spelling of 413420224 in words is "four hundred thirteen million, four hundred twenty thousand, two hundred twenty-four".