264971385 has 128 divisors (see below), whose sum is σ = 572866560. Its totient is φ = 113591808.

The previous prime is 264971341. The next prime is 264971387. The reversal of 264971385 is 583179462.

264971385 is a `hidden beast` number, since 26 + 497 + 138 + 5 = 666.

It is not a de Polignac number, because 264971385 - 2⁷ = 264971257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 264971385.

It is not an unprimeable number, because it can be changed into a prime (264971387) 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, 1586572 + ... + 1586738.

It is an arithmetic number, because the mean of its divisors is an integer number (4475520).

Almost surely, 2^264971385 is an apocalyptic number.

It is an amenable number.

264971385 is an abundant number, since it is smaller than the sum of its proper divisors (307895175).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264971385 is a wasteful number, since it uses less digits than its factorization.

264971385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 264971385 is about 16277.9416696338. The cubic root of 264971385 is about 642.2927086939.

It can be divided in two parts, 264971 and 385, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 264971385 in words is "two hundred sixty-four million, nine hundred seventy-one thousand, three hundred eighty-five".