426042000 has 120 divisors (see below), whose sum is σ = 1488085560. Its totient is φ = 113606400.

The previous prime is 426041989. The next prime is 426042011. The reversal of 426042000 is 240624.

426042000 is a `hidden beast` number, since 42 + 604 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (426041989) and next prime (426042011).

It can be written as a sum of positive squares in 4 ways, for example, as 35426304 + 390615696 = 5952^2 + 19764^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6166 + ... + 29834.

It is an arithmetic number, because the mean of its divisors is an integer number (12400713).

Almost surely, 2^426042000 is an apocalyptic number.

426042000 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 426042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744042780).

426042000 is an abundant number, since it is smaller than the sum of its proper divisors (1062043560).

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

426042000 is a wasteful number, since it uses less digits than its factorization.

426042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23698 (or 23679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 426042000 is about 20640.7848687980. The cubic root of 426042000 is about 752.4612475123.

Adding to 426042000 its reverse (240624), we get a palindrome (426282624).

The spelling of 426042000 in words is "four hundred twenty-six million, forty-two thousand".