424432400 has 120 divisors (see below), whose sum is σ = 1205785920. Its totient is φ = 140474880.

The previous prime is 424432399. The next prime is 424432423. The reversal of 424432400 is 4234424.

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 23 ways as a sum of consecutive naturals, for example, 78587 + ... + 83813.

It is an arithmetic number, because the mean of its divisors is an integer number (10048216).

Almost surely, 2^424432400 is an apocalyptic number.

424432400 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 424432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602892960).

424432400 is an abundant number, since it is smaller than the sum of its proper divisors (781353520).

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

424432400 is a wasteful number, since it uses less digits than its factorization.

424432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 424432400 is about 20601.7572066074. The cubic root of 424432400 is about 751.5124442626.

Adding to 424432400 its reverse (4234424), we get a palindrome (428666824).

The spelling of 424432400 in words is "four hundred twenty-four million, four hundred thirty-two thousand, four hundred".