426806016 has 288 divisors, whose sum is σ = 1450487808. Its totient is φ = 108380160.

The previous prime is 426805999. The next prime is 426806041. The reversal of 426806016 is 610608624.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2166430 + ... + 2166626.

It is an arithmetic number, because the mean of its divisors is an integer number (5036416).

Almost surely, 2^426806016 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 426806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725243904).

426806016 is an abundant number, since it is smaller than the sum of its proper divisors (1023681792).

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

426806016 is a wasteful number, since it uses less digits than its factorization.

426806016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 426806016 is about 20659.2840146991. The cubic root of 426806016 is about 752.9107721485.

The spelling of 426806016 in words is "four hundred twenty-six million, eight hundred six thousand, sixteen".