264949353 has 24 divisors (see below), whose sum is σ = 399424800. Its totient is φ = 173577528.

The previous prime is 264949337. The next prime is 264949367. The reversal of 264949353 is 353949462.

264949353 is a `hidden beast` number, since 26 + 494 + 93 + 53 = 666.

It is not a de Polignac number, because 264949353 - 2⁴ = 264949337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 264949299 and 264949308.

It is not an unprimeable number, because it can be changed into a prime (264949303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 92578 + ... + 95396.

It is an arithmetic number, because the mean of its divisors is an integer number (16642700).

Almost surely, 2^264949353 is an apocalyptic number.

It is an amenable number.

264949353 is a deficient number, since it is larger than the sum of its proper divisors (134475447).

264949353 is an equidigital number, since it uses as much as digits as its factorization.

264949353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2881 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 264949353 is about 16277.2649115261. The cubic root of 264949353 is about 642.2749062871.

The spelling of 264949353 in words is "two hundred sixty-four million, nine hundred forty-nine thousand, three hundred fifty-three".