264460400 has 60 divisors (see below), whose sum is σ = 643485600. Its totient is φ = 104432640.

The previous prime is 264460369. The next prime is 264460403. The reversal of 264460400 is 4064462.

264460400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 264460400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264460403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27416 + ... + 35784.

It is an arithmetic number, because the mean of its divisors is an integer number (10724760).

Almost surely, 2^264460400 is an apocalyptic number.

264460400 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 264460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321742800).

264460400 is an abundant number, since it is smaller than the sum of its proper divisors (379025200).

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

264460400 is a wasteful number, since it uses less digits than its factorization.

264460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8466 (or 8455 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 264460400 is about 16262.2384683044. The cubic root of 264460400 is about 641.8795657928.

The spelling of 264460400 in words is "two hundred sixty-four million, four hundred sixty thousand, four hundred".