264406400 has 96 divisors (see below), whose sum is σ = 665917200. Its totient is φ = 103700480.

The previous prime is 264406381. The next prime is 264406433. The reversal of 264406400 is 4604462.

264406400 is digitally balanced in base 3, 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 264406400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168821 + ... + 170379.

Almost surely, 2^264406400 is an apocalyptic number.

264406400 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 264406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332958600).

264406400 is an abundant number, since it is smaller than the sum of its proper divisors (401510800).

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

264406400 is a wasteful number, since it uses less digits than its factorization.

264406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1619 counting only the distinct ones).

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

The square root of 264406400 is about 16260.5780955045. The cubic root of 264406400 is about 641.8358744928.

The spelling of 264406400 in words is "two hundred sixty-four million, four hundred six thousand, four hundred".