426285216 has 288 divisors, whose sum is σ = 1509580800. Its totient is φ = 111352320.

The previous prime is 426285203. The next prime is 426285257. The reversal of 426285216 is 612582624.

It is a happy number.

426285216 is a `hidden beast` number, since 4 + 2 + 628 + 5 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1187245 + ... + 1187603.

It is an arithmetic number, because the mean of its divisors is an integer number (5241600).

Almost surely, 2^426285216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426285216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754790400).

426285216 is an abundant number, since it is smaller than the sum of its proper divisors (1083295584).

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

426285216 is a wasteful number, since it uses less digits than its factorization.

426285216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 426285216 is about 20646.6756646197. The cubic root of 426285216 is about 752.6044069508.

The spelling of 426285216 in words is "four hundred twenty-six million, two hundred eighty-five thousand, two hundred sixteen".