264449952 has 288 divisors, whose sum is σ = 878387328. Its totient is φ = 74815488.

The previous prime is 264449921. The next prime is 264449971. The reversal of 264449952 is 259944462.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×264449952² = 139867554225604608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264449898 and 264449907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3186103 + ... + 3186185.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 2^264449952 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 264449952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439193664).

264449952 is an abundant number, since it is smaller than the sum of its proper divisors (613937376).

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

264449952 is a wasteful number, since it uses less digits than its factorization.

264449952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 264449952 is about 16261.9172301423. The cubic root of 264449952 is about 641.8711127994.

The spelling of 264449952 in words is "two hundred sixty-four million, four hundred forty-nine thousand, nine hundred fifty-two".