426141624 has 128 divisors (see below), whose sum is σ = 1142138880. Its totient is φ = 132288000.

The previous prime is 426141587. The next prime is 426141637.

It is a happy number.

426141624 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 426141591 and 426141600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3982579 + ... + 3982685.

It is an arithmetic number, because the mean of its divisors is an integer number (8922960).

Almost surely, 2^426141624 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 426141624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571069440).

426141624 is an abundant number, since it is smaller than the sum of its proper divisors (715997256).

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

426141624 is a wasteful number, since it uses less digits than its factorization.

426141624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 426141624 is about 20643.1980080607. The cubic root of 426141624 is about 752.5198938093.

The spelling of 426141624 in words is "four hundred twenty-six million, one hundred forty-one thousand, six hundred twenty-four".