424848424 has 216 divisors, whose sum is σ = 1123731630. Its totient is φ = 149909760.

The previous prime is 424848421. The next prime is 424848443.

424848424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 261468900 + 163379524 = 16170^2 + 12782^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (424848421) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8015982 + ... + 8016034.

Almost surely, 2^424848424 is an apocalyptic number.

424848424 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 424848424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561865815).

424848424 is an abundant number, since it is smaller than the sum of its proper divisors (698883206).

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

424848424 is a wasteful number, since it uses less digits than its factorization.

424848424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its digits is 262144, while the sum is 40.

The square root of 424848424 is about 20611.8515422560. The cubic root of 424848424 is about 751.7579055088.

It can be divided in two parts, 424 and 848424, that added together give a palindrome (848848).

The spelling of 424848424 in words is "four hundred twenty-four million, eight hundred forty-eight thousand, four hundred twenty-four".