424032000 has 288 divisors, whose sum is σ = 1612176384. Its totient is φ = 96768000.

The previous prime is 424031999. The next prime is 424032031. The reversal of 424032000 is 230424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 671685 + ... + 672315.

Almost surely, 2^424032000 is an apocalyptic number.

424032000 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 424032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806088192).

424032000 is an abundant number, since it is smaller than the sum of its proper divisors (1188144384).

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

424032000 is an equidigital number, since it uses as much as digits as its factorization.

424032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 424032000 is about 20592.0372960035. The cubic root of 424032000 is about 751.2760499197.

Adding to 424032000 its reverse (230424), we get a palindrome (424262424).

The spelling of 424032000 in words is "four hundred twenty-four million, thirty-two thousand".