264520152 has 72 divisors (see below), whose sum is σ = 775791900. Its totient is φ = 81387072.

The previous prime is 264520063. The next prime is 264520159. The reversal of 264520152 is 251025462.

264520152 is a `hidden beast` number, since 2 + 645 + 2 + 0 + 15 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264520159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1299 + ... + 23037.

Almost surely, 2^264520152 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 264520152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387895950).

264520152 is an abundant number, since it is smaller than the sum of its proper divisors (511271748).

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

264520152 is a wasteful number, since it uses less digits than its factorization.

264520152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21777 (or 21757 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 264520152 is about 16264.0755040058. The cubic root of 264520152 is about 641.9279040943.

The spelling of 264520152 in words is "two hundred sixty-four million, five hundred twenty thousand, one hundred fifty-two".