426272 has 48 divisors (see below), whose sum is σ = 1052352. Its totient is φ = 165120.

The previous prime is 426253. The next prime is 426287. The reversal of 426272 is 272624.

Added to its reverse (272624) it gives a square (698896 = 836²).

It is an unprimeable number.

426272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2378 + ... + 2550.

It is an arithmetic number, because the mean of its divisors is an integer number (21924).

2⁴²⁶²⁷² 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 426272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526176).

426272 is an abundant number, since it is smaller than the sum of its proper divisors (626080).

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

426272 is a wasteful number, since it uses less digits than its factorization.

426272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 426272 is about 652.8950911134. The cubic root of 426272 is about 75.2596629277.

Adding to 426272 its reverse (272624), we get a palindrome (698896).

It can be divided in two parts, 4262 and 72, that added together give a palindrome (4334).

The spelling of 426272 in words is "four hundred twenty-six thousand, two hundred seventy-two".