426381200 has 240 divisors, whose sum is σ = 1245456000. Its totient is φ = 137195520.

The previous prime is 426381173. The next prime is 426381203. The reversal of 426381200 is 2183624.

It is a Cunningham number, because it is equal to 20649²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 426381200.

It is not an unprimeable number, because it can be changed into a prime (426381203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4790756 + ... + 4790844.

It is an arithmetic number, because the mean of its divisors is an integer number (5189400).

Almost surely, 2^426381200 is an apocalyptic number.

426381200 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 426381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622728000).

426381200 is an abundant number, since it is smaller than the sum of its proper divisors (819074800).

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

426381200 is a wasteful number, since it uses less digits than its factorization.

426381200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 426381200 is about 20648.9999757858. Note that the first 4 decimals coincide. The cubic root of 426381200 is about 752.6608891350.

The spelling of 426381200 in words is "four hundred twenty-six million, three hundred eighty-one thousand, two hundred".