413285224 has 32 divisors (see below), whose sum is σ = 850111200. Its totient is φ = 186800320.

The previous prime is 413285209. The next prime is 413285237. The reversal of 413285224 is 422582314.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2634 + ... + 28870.

It is an arithmetic number, because the mean of its divisors is an integer number (26565975).

Almost surely, 2^413285224 is an apocalyptic number.

413285224 is a gapful number since it is divisible by the number (44) 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 413285224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425055600).

413285224 is an abundant number, since it is smaller than the sum of its proper divisors (436825976).

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

413285224 is a wasteful number, since it uses less digits than its factorization.

413285224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26433 (or 26429 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 413285224 is about 20329.4176994817. The cubic root of 413285224 is about 744.8748188393.

The spelling of 413285224 in words is "four hundred thirteen million, two hundred eighty-five thousand, two hundred twenty-four".