426900960 has 144 divisors (see below), whose sum is σ = 1473610320. Its totient is φ = 112527360.

The previous prime is 426900941. The next prime is 426901001. The reversal of 426900960 is 69009624.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126495 + ... + 129825.

It is an arithmetic number, because the mean of its divisors is an integer number (10233405).

Almost surely, 2^426900960 is an apocalyptic number.

426900960 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 426900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736805160).

426900960 is an abundant number, since it is smaller than the sum of its proper divisors (1046709360).

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

426900960 is a wasteful number, since it uses less digits than its factorization.

426900960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 426900960 is about 20661.5817400314. The cubic root of 426900960 is about 752.9665969320.

The spelling of 426900960 in words is "four hundred twenty-six million, nine hundred thousand, nine hundred sixty".