264440 has 32 divisors (see below), whose sum is σ = 650160. Its totient is φ = 96000.

The previous prime is 264437. The next prime is 264443. The reversal of 264440 is 44462.

264440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264437) and next prime (264443).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 2¹¹ + 6³ + 4² + 4² + 4⁹ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140 + ... + 740.

2²⁶⁴⁴⁴⁰ is an apocalyptic number.

264440 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 264440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325080).

264440 is an abundant number, since it is smaller than the sum of its proper divisors (385720).

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

264440 is a wasteful number, since it uses less digits than its factorization.

264440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 264440 is about 514.2372993084. The cubic root of 264440 is about 64.1863060890.

It can be divided in two parts, 26 and 4440, that multiplied together give a triangular number (115440 = T₄₈₀).

The spelling of 264440 in words is "two hundred sixty-four thousand, four hundred forty".