264213441 has 8 divisors (see below), whose sum is σ = 391427360. Its totient is φ = 176142276.

The previous prime is 264213413. The next prime is 264213479. The reversal of 264213441 is 144312462.

It is a happy number.

264213441 is a `hidden beast` number, since 2 + 6 + 4 + 213 + 441 = 666.

It is not a de Polignac number, because 264213441 - 2¹⁸ = 263951297 is a prime.

It is a super-3 number, since 3×264213441³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 9785683 = 264213441 / (2 + 6 + 4 + 2 + 1 + 3 + 4 + 4 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264213241) 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, 4892815 + ... + 4892868.

It is an arithmetic number, because the mean of its divisors is an integer number (48928420).

Almost surely, 2^264213441 is an apocalyptic number.

It is an amenable number.

264213441 is a deficient number, since it is larger than the sum of its proper divisors (127213919).

264213441 is an equidigital number, since it uses as much as digits as its factorization.

264213441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9785692 (or 9785686 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 264213441 is about 16254.6436749625. The cubic root of 264213441 is about 641.6797030990.

The spelling of 264213441 in words is "two hundred sixty-four million, two hundred thirteen thousand, four hundred forty-one".