264643488 has 144 divisors (see below), whose sum is σ = 803851776. Its totient is φ = 82298880.

The previous prime is 264643459. The next prime is 264643529. The reversal of 264643488 is 884346462.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×264643488² = 140072351481612288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 934995 + ... + 935277.

It is an arithmetic number, because the mean of its divisors is an integer number (5582304).

Almost surely, 2^264643488 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 264643488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401925888).

264643488 is an abundant number, since it is smaller than the sum of its proper divisors (539208288).

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

264643488 is a wasteful number, since it uses less digits than its factorization.

264643488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 496 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 264643488 is about 16267.8667316892. The cubic root of 264643488 is about 642.0276577015.

The spelling of 264643488 in words is "two hundred sixty-four million, six hundred forty-three thousand, four hundred eighty-eight".