264233024 has 84 divisors (see below), whose sum is σ = 582739500. Its totient is φ = 118778880.

The previous prime is 264233017. The next prime is 264233033. The reversal of 264233024 is 420332462.

It can be written as a sum of positive squares in 2 ways, for example, as 143233024 + 121000000 = 11968^2 + 11000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 264232984 and 264233002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1153742 + ... + 1153970.

It is an arithmetic number, because the mean of its divisors is an integer number (6937375).

Almost surely, 2^264233024 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 264233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291369750).

264233024 is an abundant number, since it is smaller than the sum of its proper divisors (318506476).

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

264233024 is a wasteful number, since it uses less digits than its factorization.

264233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 264233024 is about 16255.2460455079. The cubic root of 264233024 is about 641.6955560689.

Adding to 264233024 its reverse (420332462), we get a palindrome (684565486).

The spelling of 264233024 in words is "two hundred sixty-four million, two hundred thirty-three thousand, twenty-four".