264426192 has 120 divisors (see below), whose sum is σ = 786140160. Its totient is φ = 82736640.

The previous prime is 264426191. The next prime is 264426199. The reversal of 264426192 is 291624462.

264426192 is a `hidden beast` number, since 2 + 644 + 2 + 6 + 1 + 9 + 2 = 666.

264426192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×264426192² = 139842422031241728, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264426191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347092 + ... + 347852.

It is an arithmetic number, because the mean of its divisors is an integer number (6551168).

Almost surely, 2^264426192 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 264426192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393070080).

264426192 is an abundant number, since it is smaller than the sum of its proper divisors (521713968).

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

264426192 is a wasteful number, since it uses less digits than its factorization.

With its successor (264426193) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (912).

264426192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 912 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 264426192 is about 16261.1866725648. The cubic root of 264426192 is about 641.8518888539.

The spelling of 264426192 in words is "two hundred sixty-four million, four hundred twenty-six thousand, one hundred ninety-two".