264788480 has 80 divisors (see below), whose sum is σ = 692661024. Its totient is φ = 96276480.

The previous prime is 264788479. The next prime is 264788483. The reversal of 264788480 is 84887462.

It is a happy number.

264788480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×264788480² = 140225878281420800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264788483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23459 + ... + 32861.

Almost surely, 2^264788480 is an apocalyptic number.

264788480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346330512).

264788480 is an abundant number, since it is smaller than the sum of its proper divisors (427872544).

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

264788480 is an equidigital number, since it uses as much as digits as its factorization.

264788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 47.

The square root of 264788480 is about 16272.3225140113. The cubic root of 264788480 is about 642.1448869592.

The spelling of 264788480 in words is "two hundred sixty-four million, seven hundred eighty-eight thousand, four hundred eighty".