413194824 has 192 divisors, whose sum is σ = 1386230400. Its totient is φ = 111694464.

The previous prime is 413194801. The next prime is 413194841. The reversal of 413194824 is 428491314.

It is a happy number.

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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 545454 + ... + 546210.

It is an arithmetic number, because the mean of its divisors is an integer number (7219950).

Almost surely, 2^413194824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413194824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693115200).

413194824 is an abundant number, since it is smaller than the sum of its proper divisors (973035576).

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

413194824 is a wasteful number, since it uses less digits than its factorization.

413194824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 788 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 413194824 is about 20327.1941989051. The cubic root of 413194824 is about 744.8205047805.

The spelling of 413194824 in words is "four hundred thirteen million, one hundred ninety-four thousand, eight hundred twenty-four".