264092742 has 48 divisors (see below), whose sum is σ = 604032000. Its totient is φ = 83160432.

The previous prime is 264092711. The next prime is 264092743. The reversal of 264092742 is 247290462.

264092742 is a `hidden beast` number, since 2 + 640 + 9 + 2 + 7 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 264092697 and 264092706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264092743) 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, 149259 + ... + 151017.

It is an arithmetic number, because the mean of its divisors is an integer number (12584000).

Almost surely, 2^264092742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264092742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302016000).

264092742 is an abundant number, since it is smaller than the sum of its proper divisors (339939258).

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

264092742 is a wasteful number, since it uses less digits than its factorization.

264092742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2222 counting only the distinct ones).

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

The square root of 264092742 is about 16250.9304964362. The cubic root of 264092742 is about 641.5819766865.

The spelling of 264092742 in words is "two hundred sixty-four million, ninety-two thousand, seven hundred forty-two".