426904200 has 108 divisors (see below), whose sum is σ = 1436636565. Its totient is φ = 113607360.

The previous prime is 426904147. The next prime is 426904201. The reversal of 426904200 is 2409624.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 418366116 + 8538084 = 20454^2 + 2922^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14610.

It is not an unprimeable number, because it can be changed into a prime (426904201) 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 26 ways as a sum of consecutive naturals, for example, 876357 + ... + 876843.

Almost surely, 2^426904200 is an apocalyptic number.

426904200 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 426904200

426904200 is an abundant number, since it is smaller than the sum of its proper divisors (1009732365).

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

426904200 is a wasteful number, since it uses less digits than its factorization.

426904200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 426904200 is about 20661.6601462709. The cubic root of 426904200 is about 752.9685018279.

The spelling of 426904200 in words is "four hundred twenty-six million, nine hundred four thousand, two hundred".