426686976 has 240 divisors, whose sum is σ = 1327772160. Its totient is φ = 131604480.

The previous prime is 426686969. The next prime is 426686977. The reversal of 426686976 is 679686624.

Its product of digits (5225472) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (426686977) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4142541 + ... + 4142643.

It is an arithmetic number, because the mean of its divisors is an integer number (5532384).

Almost surely, 2^426686976 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 426686976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663886080).

426686976 is an abundant number, since it is smaller than the sum of its proper divisors (901085184).

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

426686976 is a wasteful number, since it uses less digits than its factorization.

426686976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 426686976 is about 20656.4027846089. The cubic root of 426686976 is about 752.8407677993.

The spelling of 426686976 in words is "four hundred twenty-six million, six hundred eighty-six thousand, nine hundred seventy-six".