424024320 has 144 divisors (see below), whose sum is σ = 1413401472. Its totient is φ = 108134400.

The previous prime is 424024303. The next prime is 424024339. The reversal of 424024320 is 23420424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85920 + ... + 90720.

It is an arithmetic number, because the mean of its divisors is an integer number (9815288).

Almost surely, 2^424024320 is an apocalyptic number.

424024320 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 424024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706700736).

424024320 is an abundant number, since it is smaller than the sum of its proper divisors (989377152).

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

424024320 is a wasteful number, since it uses less digits than its factorization.

424024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4848 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 424024320 is about 20591.8508153104. The cubic root of 424024320 is about 751.2715142283.

Adding to 424024320 its reverse (23420424), we get a palindrome (447444744).

The spelling of 424024320 in words is "four hundred twenty-four million, twenty-four thousand, three hundred twenty".