264801 has 8 divisors (see below), whose sum is σ = 359104. Its totient is φ = 173520.

The previous prime is 264793. The next prime is 264811. The reversal of 264801 is 108462.

264801 = T₆₁ + T₆₂ + ... + T₁₂₁.

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

It is not a de Polignac number, because 264801 - 2³ = 264793 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (264811) 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, 541 + ... + 906.

It is an arithmetic number, because the mean of its divisors is an integer number (44888).

2²⁶⁴⁸⁰¹ is an apocalyptic number.

It is an amenable number.

264801 is a deficient number, since it is larger than the sum of its proper divisors (94303).

264801 is a wasteful number, since it uses less digits than its factorization.

264801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 264801 is about 514.5881848624. The cubic root of 264801 is about 64.2155007650.

The spelling of 264801 in words is "two hundred sixty-four thousand, eight hundred one".