424842400 has 72 divisors (see below), whose sum is σ = 1059307200. Its totient is φ = 166306560.

The previous prime is 424842391. The next prime is 424842401. The reversal of 424842400 is 4248424.

It is not an unprimeable number, because it can be changed into a prime (424842401) 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 11 ways as a sum of consecutive naturals, for example, 31951 + ... + 43249.

It is an arithmetic number, because the mean of its divisors is an integer number (14712600).

Almost surely, 2^424842400 is an apocalyptic number.

424842400 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 424842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529653600).

424842400 is an abundant number, since it is smaller than the sum of its proper divisors (634464800).

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

424842400 is a wasteful number, since it uses less digits than its factorization.

424842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11366 (or 11353 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 424842400 is about 20611.7054122166. The cubic root of 424842400 is about 751.7543523898.

424842400 divided by its reverse (4248424) gives a square (100 = 10²).

The spelling of 424842400 in words is "four hundred twenty-four million, eight hundred forty-two thousand, four hundred".