264457 has 4 divisors (see below), whose sum is σ = 265540. Its totient is φ = 263376.

The previous prime is 264443. The next prime is 264463. The reversal of 264457 is 754462.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 754462 = 2 ⋅377231.

It can be written as a sum of positive squares in 2 ways, for example, as 84681 + 179776 = 291^2 + 424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-264457 is a prime.

It is a Duffinian number.

264457 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (264437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19 + ... + 727.

It is an arithmetic number, because the mean of its divisors is an integer number (66385).

2²⁶⁴⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

264457 is a deficient number, since it is larger than the sum of its proper divisors (1083).

264457 is an equidigital number, since it uses as much as digits as its factorization.

264457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082.

The product of its digits is 6720, while the sum is 28.

The square root of 264457 is about 514.2538283766. The cubic root of 264457 is about 64.1876815035.

It can be divided in two parts, 2644 and 57, that added together give a triangular number (2701 = T₇₃).

The spelling of 264457 in words is "two hundred sixty-four thousand, four hundred fifty-seven".