264400 has 30 divisors (see below), whose sum is σ = 636182. Its totient is φ = 105600.

The previous prime is 264391. The next prime is 264403. The reversal of 264400 is 4462.

It can be written as a sum of positive squares in 3 ways, for example, as 41616 + 222784 = 204^2 + 472^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70 + ... + 730.

2²⁶⁴⁴⁰⁰ is an apocalyptic number.

264400 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 264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318091).

264400 is an abundant number, since it is smaller than the sum of its proper divisors (371782).

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

264400 is a wasteful number, since it uses less digits than its factorization.

264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 264400 is about 514.1984052873. The cubic root of 264400 is about 64.1830695870.

Adding to 264400 its reverse (4462), we get a palindrome (268862).

The spelling of 264400 in words is "two hundred sixty-four thousand, four hundred".