413284824 has 48 divisors (see below), whose sum is σ = 1185158520. Its totient is φ = 129657600.

The previous prime is 413284801. The next prime is 413284847. The reversal of 413284824 is 428482314.

It is an interprime number because it is at equal distance from previous prime (413284801) and next prime (413284847).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 167602 + ... + 170049.

Almost surely, 2^413284824 is an apocalyptic number.

It is an amenable number.

413284824 is an abundant number, since it is smaller than the sum of its proper divisors (771873696).

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

413284824 is a wasteful number, since it uses less digits than its factorization.

413284824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337680 (or 337673 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 413284824 is about 20329.4078615192. The cubic root of 413284824 is about 744.8745785290.

The spelling of 413284824 in words is "four hundred thirteen million, two hundred eighty-four thousand, eight hundred twenty-four".