264408 has 32 divisors (see below), whose sum is σ = 691200. Its totient is φ = 84128.

The previous prime is 264403. The next prime is 264437. The reversal of 264408 is 804462.

264408 is digitally balanced in base 3, 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 (24).

It is a d-powerful number, because it can be written as 2⁹ + 6³ + 4⁵ + 4⁹ + 0 + 8³ .

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2²⁶⁴⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345600).

264408 is an abundant number, since it is smaller than the sum of its proper divisors (426792).

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

264408 is a wasteful number, since it uses less digits than its factorization.

264408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 264408 is about 514.2061843269. The cubic root of 264408 is about 64.1837169135.

The spelling of 264408 in words is "two hundred sixty-four thousand, four hundred eight".