264042792 has 48 divisors (see below), whose sum is σ = 770127540. Its totient is φ = 81243648.

The previous prime is 264042781. The next prime is 264042803. The reversal of 264042792 is 297240462.

264042792 is a `hidden beast` number, since 2 + 640 + 4 + 2 + 7 + 9 + 2 = 666.

264042792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264042781) and next prime (264042803).

It can be written as a sum of positive squares in 2 ways, for example, as 225180036 + 38862756 = 15006^2 + 6234^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140113 + ... + 141984.

Almost surely, 2^264042792 is an apocalyptic number.

It is an amenable number.

264042792 is an abundant number, since it is smaller than the sum of its proper divisors (506084748).

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

264042792 is a wasteful number, since it uses less digits than its factorization.

264042792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282122 (or 282115 counting only the distinct ones).

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

The square root of 264042792 is about 16249.3935886851. The cubic root of 264042792 is about 641.5415249370.

The spelling of 264042792 in words is "two hundred sixty-four million, forty-two thousand, seven hundred ninety-two".