264461 has 8 divisors (see below), whose sum is σ = 288000. Its totient is φ = 241920.

The previous prime is 264443. The next prime is 264463. The reversal of 264461 is 164462.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 264461 - 2¹⁰ = 263437 is a prime.

It is a d-powerful number, because it can be written as 2¹¹ + 6 + 4⁴ + 4⁹ + 6 + 1 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264463) 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, 365 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2²⁶⁴⁴⁶¹ is an apocalyptic number.

It is an amenable number.

264461 is a deficient number, since it is larger than the sum of its proper divisors (23539).

264461 is a wasteful number, since it uses less digits than its factorization.

264461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499.

The product of its digits is 1152, while the sum is 23.

The square root of 264461 is about 514.2577174919. The cubic root of 264461 is about 64.1880051218.

Subtracting from 264461 its reverse (164462), we obtain a palindrome (99999).

The spelling of 264461 in words is "two hundred sixty-four thousand, four hundred sixty-one".