424585424 has 40 divisors (see below), whose sum is σ = 854945280. Its totient is φ = 204048000.

The previous prime is 424585391. The next prime is 424585429.

424585424 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424585429) by changing a digit.

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, 72062 + ... + 77730.

It is an arithmetic number, because the mean of its divisors is an integer number (21373632).

Almost surely, 2^424585424 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 424585424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

424585424 is an abundant number, since it is smaller than the sum of its proper divisors (430359856).

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

424585424 is a wasteful number, since it uses less digits than its factorization.

424585424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859 (or 5853 counting only the distinct ones).

The product of its digits is 204800, while the sum is 38.

The square root of 424585424 is about 20605.4707298814. The cubic root of 424585424 is about 751.6027496701.

The spelling of 424585424 in words is "four hundred twenty-four million, five hundred eighty-five thousand, four hundred twenty-four".