413031424 has 176 divisors, whose sum is σ = 990420480. Its totient is φ = 170311680.

The previous prime is 413031389. The next prime is 413031433. The reversal of 413031424 is 424130314.

It is a super-2 number, since 2×413031424² = 341189914422935552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413031395 and 413031404.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5817309 + ... + 5817379.

Almost surely, 2^413031424 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 413031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495210240).

413031424 is an abundant number, since it is smaller than the sum of its proper divisors (577389056).

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

413031424 is a wasteful number, since it uses less digits than its factorization.

413031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 413031424 is about 20323.1745551722. The cubic root of 413031424 is about 744.7223108134.

Adding to 413031424 its reverse (424130314), we get a palindrome (837161738).

The spelling of 413031424 in words is "four hundred thirteen million, thirty-one thousand, four hundred twenty-four".