426789792 has 288 divisors, whose sum is σ = 1465079616. Its totient is φ = 116121600.

The previous prime is 426789791. The next prime is 426789793. The reversal of 426789792 is 297987624.

It is an interprime number because it is at equal distance from previous prime (426789791) and next prime (426789793).

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

Its product of digits (3048192) is a multiple of the sum of its prime factors (324).

It is not an unprimeable number, because it can be changed into a prime (426789791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1770792 + ... + 1771032.

It is an arithmetic number, because the mean of its divisors is an integer number (5087082).

Almost surely, 2^426789792 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 426789792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732539808).

426789792 is an abundant number, since it is smaller than the sum of its proper divisors (1038289824).

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

426789792 is a wasteful number, since it uses less digits than its factorization.

426789792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 313 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 426789792 is about 20658.8913545718. The cubic root of 426789792 is about 752.9012319993.

The spelling of 426789792 in words is "four hundred twenty-six million, seven hundred eighty-nine thousand, seven hundred ninety-two".