424848000 has 256 divisors, whose sum is σ = 1443536640. Its totient is φ = 110489600.

The previous prime is 424847989. The next prime is 424848001. The reversal of 424848000 is 848424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424848001) by changing a digit.

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, 2543917 + ... + 2544083.

It is an arithmetic number, because the mean of its divisors is an integer number (5638815).

Almost surely, 2^424848000 is an apocalyptic number.

424848000 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 424848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721768320).

424848000 is an abundant number, since it is smaller than the sum of its proper divisors (1018688640).

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

424848000 is a wasteful number, since it uses less digits than its factorization.

424848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 424848000 is about 20611.8412569086. The cubic root of 424848000 is about 751.7576554232.

The spelling of 424848000 in words is "four hundred twenty-four million, eight hundred forty-eight thousand".