264984993 has 128 divisors (see below), whose sum is σ = 516096000. Its totient is φ = 133358400.

The previous prime is 264984971. The next prime is 264984997. The reversal of 264984993 is 399489462.

264984993 is a `hidden beast` number, since 2 + 64 + 98 + 499 + 3 = 666.

It is not a de Polignac number, because 264984993 - 2⁵ = 264984961 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264984997) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3732148 + ... + 3732218.

It is an arithmetic number, because the mean of its divisors is an integer number (4032000).

Almost surely, 2^264984993 is an apocalyptic number.

It is an amenable number.

264984993 is a deficient number, since it is larger than the sum of its proper divisors (251111007).

264984993 is a wasteful number, since it uses less digits than its factorization.

264984993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 264984993 is about 16278.3596532329. The cubic root of 264984993 is about 642.3037038052.

The spelling of 264984993 in words is "two hundred sixty-four million, nine hundred eighty-four thousand, nine hundred ninety-three".