264242592 has 72 divisors (see below), whose sum is σ = 764225280. Its totient is φ = 86582400.

The previous prime is 264242591. The next prime is 264242609. The reversal of 264242592 is 295242462.

It is a happy number.

264242592 is a `hidden beast` number, since 2 + 64 + 2 + 4 + 2 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (264242591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9217 + ... + 24767.

It is an arithmetic number, because the mean of its divisors is an integer number (10614240).

Almost surely, 2^264242592 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 264242592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382112640).

264242592 is an abundant number, since it is smaller than the sum of its proper divisors (499982688).

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

264242592 is a wasteful number, since it uses less digits than its factorization.

264242592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15626 (or 15615 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 264242592 is about 16255.5403478322. The cubic root of 264242592 is about 641.7033013397.

The spelling of 264242592 in words is "two hundred sixty-four million, two hundred forty-two thousand, five hundred ninety-two".