426141000 has 160 divisors (see below), whose sum is σ = 1489882680. Its totient is φ = 113616000.

The previous prime is 426140999. The next prime is 426141029. The reversal of 426141000 is 141624.

426141000 is a `hidden beast` number, since 42 + 614 + 10 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 176943204 + 249197796 = 13302^2 + 15786^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 78370 + ... + 83630.

Almost surely, 2^426141000 is an apocalyptic number.

426141000 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 426141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744941340).

426141000 is an abundant number, since it is smaller than the sum of its proper divisors (1063741680).

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

426141000 is a wasteful number, since it uses less digits than its factorization.

426141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 426141000 is about 20643.1828941179. The cubic root of 426141000 is about 752.5195265037.

Adding to 426141000 its reverse (141624), we get a palindrome (426282624).

The spelling of 426141000 in words is "four hundred twenty-six million, one hundred forty-one thousand".