264005406 has 96 divisors (see below), whose sum is σ = 688117248. Its totient is φ = 74299680.

The previous prime is 264005389. The next prime is 264005429. The reversal of 264005406 is 604500462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 264005406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240996 + ... + 242088.

It is an arithmetic number, because the mean of its divisors is an integer number (7167888).

Almost surely, 2^264005406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264005406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344058624).

264005406 is an abundant number, since it is smaller than the sum of its proper divisors (424111842).

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

264005406 is a wasteful number, since it uses less digits than its factorization.

264005406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 264005406 is about 16248.2431665703. The cubic root of 264005406 is about 641.5112447396.

Adding to 264005406 its reverse (604500462), we get a palindrome (868505868).

The spelling of 264005406 in words is "two hundred sixty-four million, five thousand, four hundred six".