426133872 has 100 divisors (see below), whose sum is σ = 1254484440. Its totient is φ = 139612032.

The previous prime is 426133853. The next prime is 426133879. The reversal of 426133872 is 278331624.

It is a happy number.

426133872 is a `hidden beast` number, since 4 + 2 + 613 + 38 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426133879) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 73678 + ... + 79250.

Almost surely, 2^426133872 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 426133872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627242220).

426133872 is an abundant number, since it is smaller than the sum of its proper divisors (828350568).

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

426133872 is a wasteful number, since it uses less digits than its factorization.

426133872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5637 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 426133872 is about 20643.0102456013. The cubic root of 426133872 is about 752.5153307179.

The spelling of 426133872 in words is "four hundred twenty-six million, one hundred thirty-three thousand, eight hundred seventy-two".