426968160 has 192 divisors, whose sum is σ = 1430654400. Its totient is φ = 106831872.

The previous prime is 426968099. The next prime is 426968161. The reversal of 426968160 is 61869624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426968161) 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 31 ways as a sum of consecutive naturals, for example, 514626 + ... + 515454.

It is an arithmetic number, because the mean of its divisors is an integer number (7451325).

Almost surely, 2^426968160 is an apocalyptic number.

426968160 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 426968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715327200).

426968160 is an abundant number, since it is smaller than the sum of its proper divisors (1003686240).

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

426968160 is a wasteful number, since it uses less digits than its factorization.

426968160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 426968160 is about 20663.2078826111. The cubic root of 426968160 is about 753.0061039101.

The spelling of 426968160 in words is "four hundred twenty-six million, nine hundred sixty-eight thousand, one hundred sixty".