413133424 has 40 divisors (see below), whose sum is σ = 880983792. Its totient is φ = 186117120.

The previous prime is 413133421. The next prime is 413133467. The reversal of 413133424 is 424331314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413133421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9502 + ... + 30274.

Almost surely, 2^413133424 is an apocalyptic number.

413133424 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 413133424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440491896).

413133424 is an abundant number, since it is smaller than the sum of its proper divisors (467850368).

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

413133424 is a wasteful number, since it uses less digits than its factorization.

413133424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20905 (or 20899 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 413133424 is about 20325.6838507343. The cubic root of 413133424 is about 744.7836099617.

Adding to 413133424 its reverse (424331314), we get a palindrome (837464738).

The spelling of 413133424 in words is "four hundred thirteen million, one hundred thirty-three thousand, four hundred twenty-four".