264144400 has 120 divisors (see below), whose sum is σ = 693150080. Its totient is φ = 96145920.

The previous prime is 264144389. The next prime is 264144407. The reversal of 264144400 is 4441462.

264144400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264144407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410479 + ... + 411121.

Almost surely, 2^264144400 is an apocalyptic number.

264144400 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 264144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346575040).

264144400 is an abundant number, since it is smaller than the sum of its proper divisors (429005680).

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

264144400 is a wasteful number, since it uses less digits than its factorization.

264144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 264144400 is about 16252.5198046334. The cubic root of 264144400 is about 641.6238062862.

Adding to 264144400 its reverse (4441462), we get a palindrome (268585862).

The spelling of 264144400 in words is "two hundred sixty-four million, one hundred forty-four thousand, four hundred".