424224240 has 320 divisors, whose sum is σ = 1522616832. Its totient is φ = 96768000.

The previous prime is 424224217. The next prime is 424224257. The reversal of 424224240 is 42422424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 424224240.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4200190 + ... + 4200290.

Almost surely, 2^424224240 is an apocalyptic number.

424224240 is a gapful number since it is divisible by the number (40) 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 424224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761308416).

424224240 is an abundant number, since it is smaller than the sum of its proper divisors (1098392592).

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

424224240 is a wasteful number, since it uses less digits than its factorization.

424224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 424224240 is about 20596.7045907834. The cubic root of 424224240 is about 751.3895661069.

Adding to 424224240 its reverse (42422424), we get a palindrome (466646664).

It can be divided in two parts, 4242 and 24240, that added together give a palindrome (28482).

The spelling of 424224240 in words is "four hundred twenty-four million, two hundred twenty-four thousand, two hundred forty".