264088400 has 60 divisors (see below), whose sum is σ = 646495452. Its totient is φ = 103633920.

The previous prime is 264088381. The next prime is 264088403. The reversal of 264088400 is 4880462.

264088400 is digitally balanced in base 3, 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 6 ways, for example, as 5779216 + 258309184 = 2404^2 + 16072^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264088403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14972 + ... + 27428.

Almost surely, 2^264088400 is an apocalyptic number.

264088400 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 264088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323247726).

264088400 is an abundant number, since it is smaller than the sum of its proper divisors (382407052).

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

264088400 is a wasteful number, since it uses less digits than its factorization.

264088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12528 (or 12517 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 264088400 is about 16250.7969035368. The cubic root of 264088400 is about 641.5784605427.

The spelling of 264088400 in words is "two hundred sixty-four million, eighty-eight thousand, four hundred".