264488020 has 24 divisors (see below), whose sum is σ = 565906824. Its totient is φ = 103798656.

The previous prime is 264488011. The next prime is 264488027. The reversal of 264488020 is 20884462.

264488020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11168964 + 253319056 = 3342^2 + 15916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264488027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123699 + ... + 125818.

It is an arithmetic number, because the mean of its divisors is an integer number (23579451).

Almost surely, 2^264488020 is an apocalyptic number.

264488020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264488020 is an abundant number, since it is smaller than the sum of its proper divisors (301418804).

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

264488020 is a wasteful number, since it uses less digits than its factorization.

264488020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249579 (or 249577 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 264488020 is about 16263.0876527183. The cubic root of 264488020 is about 641.9019107847.

The spelling of 264488020 in words is "two hundred sixty-four million, four hundred eighty-eight thousand, twenty".