1000424800 has 72 divisors (see below), whose sum is σ = 2450749392. Its totient is φ = 398784000.

The previous prime is 1000424797. The next prime is 1000424837. The reversal of 1000424800 is 84240001.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 246790 + ... + 250810.

It is an arithmetic number, because the mean of its divisors is an integer number (34038186).

Almost surely, 2^1000424800 is an apocalyptic number.

1000424800 is a gapful number since it is divisible by the number (10) 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 1000424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225374696).

1000424800 is an abundant number, since it is smaller than the sum of its proper divisors (1450324592).

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

1000424800 is a wasteful number, since it uses less digits than its factorization.

1000424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1000424800 is about 31629.4925662743. The cubic root of 1000424800 is about 1000.1415799542.

Adding to 1000424800 its reverse (84240001), we get a palindrome (1084664801).

The spelling of 1000424800 in words is "one billion, four hundred twenty-four thousand, eight hundred".