426880000 has 220 divisors, whose sum is σ = 1151069040. Its totient is φ = 157696000.

The previous prime is 426879997. The next prime is 426880001. The reversal of 426880000 is 88624.

It is a super-3 number, since 3×426880000³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (426880001) 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 19 ways as a sum of consecutive naturals, for example, 14719986 + ... + 14720014.

It is an arithmetic number, because the mean of its divisors is an integer number (5232132).

Almost surely, 2^426880000 is an apocalyptic number.

426880000 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 426880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575534520).

426880000 is an abundant number, since it is smaller than the sum of its proper divisors (724189040).

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

426880000 is an equidigital number, since it uses as much as digits as its factorization.

426880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 426880000 is about 20661.0745122319. The cubic root of 426880000 is about 752.9542736692.

The spelling of 426880000 in words is "four hundred twenty-six million, eight hundred eighty thousand".