424908000 has 576 divisors, whose sum is σ = 1747811520. Its totient is φ = 96768000.

The previous prime is 424907999. The next prime is 424908019. The reversal of 424908000 is 809424.

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 95 ways as a sum of consecutive naturals, for example, 11483982 + ... + 11484018.

It is an arithmetic number, because the mean of its divisors is an integer number (3034395).

Almost surely, 2^424908000 is an apocalyptic number.

424908000 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 424908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873905760).

424908000 is an abundant number, since it is smaller than the sum of its proper divisors (1322903520).

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

424908000 is a wasteful number, since it uses less digits than its factorization.

424908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 424908000 is about 20613.2966795707. The cubic root of 424908000 is about 751.7930432451.

The spelling of 424908000 in words is "four hundred twenty-four million, nine hundred eight thousand".