426142080 has 512 divisors, whose sum is σ = 1864396800. Its totient is φ = 89579520.

The previous prime is 426142007. The next prime is 426142139. The reversal of 426142080 is 80241624.

426142080 is a `hidden beast` number, since 42 + 614 + 2 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572345 + ... + 1572615.

It is an arithmetic number, because the mean of its divisors is an integer number (3641400).

Almost surely, 2^426142080 is an apocalyptic number.

426142080 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 426142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932198400).

426142080 is an abundant number, since it is smaller than the sum of its proper divisors (1438254720).

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

426142080 is a wasteful number, since it uses less digits than its factorization.

426142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 426142080 is about 20643.2090528580. The cubic root of 426142080 is about 752.5201622247.

The spelling of 426142080 in words is "four hundred twenty-six million, one hundred forty-two thousand, eighty".