264286242 has 48 divisors (see below), whose sum is σ = 626550912. Its totient is φ = 79846560.

The previous prime is 264286241. The next prime is 264286273. The reversal of 264286242 is 242682462.

264286242 is a `hidden beast` number, since 2 + 6 + 4 + 28 + 624 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 264286197 and 264286206.

It is not an unprimeable number, because it can be changed into a prime (264286241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70848 + ... + 74484.

It is an arithmetic number, because the mean of its divisors is an integer number (13053144).

Almost surely, 2^264286242 is an apocalyptic number.

264286242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 264286242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313275456).

264286242 is an abundant number, since it is smaller than the sum of its proper divisors (362264670).

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

264286242 is a wasteful number, since it uses less digits than its factorization.

264286242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4020 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 264286242 is about 16256.8829115547. The cubic root of 264286242 is about 641.7386335278.

The spelling of 264286242 in words is "two hundred sixty-four million, two hundred eighty-six thousand, two hundred forty-two".