426020000 has 240 divisors, whose sum is σ = 1275341760. Its totient is φ = 136704000.

The previous prime is 426019987. The next prime is 426020003. The reversal of 426020000 is 20624.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (426020003) 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 39 ways as a sum of consecutive naturals, for example, 2379911 + ... + 2380089.

It is an arithmetic number, because the mean of its divisors is an integer number (5313924).

Almost surely, 2^426020000 is an apocalyptic number.

426020000 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 426020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637670880).

426020000 is an abundant number, since it is smaller than the sum of its proper divisors (849321760).

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

426020000 is a wasteful number, since it uses less digits than its factorization.

426020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 426020000 is about 20640.2519364469. The cubic root of 426020000 is about 752.4482953993.

Adding to 426020000 its reverse (20624), we get a palindrome (426040624).

The spelling of 426020000 in words is "four hundred twenty-six million, twenty thousand".