249874765 has 24 divisors (see below), whose sum is σ = 349591032. Its totient is φ = 170956800.

The previous prime is 249874733. The next prime is 249874769. The reversal of 249874765 is 567478942.

It can be written as a sum of positive squares in 4 ways, for example, as 129709321 + 120165444 = 11389^2 + 10962^2 .

It is not a de Polignac number, because 249874765 - 2⁵ = 249874733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249874769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146397 + ... + 148093.

It is an arithmetic number, because the mean of its divisors is an integer number (14566293).

Almost surely, 2^249874765 is an apocalyptic number.

It is an amenable number.

249874765 is a deficient number, since it is larger than the sum of its proper divisors (99716267).

249874765 is a wasteful number, since it uses less digits than its factorization.

249874765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2310 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 52.

The square root of 249874765 is about 15807.4275263245. The cubic root of 249874765 is about 629.8553165693.

It can be divided in two parts, 24 and 9874765, that added together give a palindrome (9874789).

The spelling of 249874765 in words is "two hundred forty-nine million, eight hundred seventy-four thousand, seven hundred sixty-five".