426014000 has 80 divisors (see below), whose sum is σ = 1049798880. Its totient is φ = 167148800.

The previous prime is 426013963. The next prime is 426014021. The reversal of 426014000 is 410624.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 426014000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 103991 + ... + 108009.

It is an arithmetic number, because the mean of its divisors is an integer number (13122486).

Almost surely, 2^426014000 is an apocalyptic number.

426014000 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 426014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524899440).

426014000 is an abundant number, since it is smaller than the sum of its proper divisors (623784880).

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

426014000 is a wasteful number, since it uses less digits than its factorization.

426014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 426014000 is about 20640.1065888721. The cubic root of 426014000 is about 752.4447629274. Note that the first 3 decimals are identical.

Adding to 426014000 its reverse (410624), we get a palindrome (426424624).

The spelling of 426014000 in words is "four hundred twenty-six million, fourteen thousand".