264005460 has 96 divisors (see below), whose sum is σ = 833723520. Its totient is φ = 69341184.

The previous prime is 264005459. The next prime is 264005503. The reversal of 264005460 is 64500462.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32532 + ... + 39828.

It is an arithmetic number, because the mean of its divisors is an integer number (8684620).

Almost surely, 2^264005460 is an apocalyptic number.

264005460 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 264005460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416861760).

264005460 is an abundant number, since it is smaller than the sum of its proper divisors (569718060).

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

264005460 is a wasteful number, since it uses less digits than its factorization.

264005460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7382 (or 7374 counting only the distinct ones).

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

The square root of 264005460 is about 16248.2448282884. The cubic root of 264005460 is about 641.5112884781.

The spelling of 264005460 in words is "two hundred sixty-four million, five thousand, four hundred sixty".