249861249 has 27 divisors (see below), whose sum is σ = 397533409. Its totient is φ = 151114920.

The previous prime is 249861247. The next prime is 249861253. The reversal of 249861249 is 942168942.

The square root of 249861249 is 15807.

It is a perfect power (a square), and thus also a powerful number.

249861249 is a `hidden beast` number, since 24 + 9 + 8 + 612 + 4 + 9 = 666.

It is not a de Polignac number, because 249861249 - 2¹ = 249861247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249861247) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 521392 + ... + 521870.

Almost surely, 2^249861249 is an apocalyptic number.

249861249 is the 15807-th square number.

249861249 is the 7904-th centered octagonal number.

It is an amenable number.

249861249 is a deficient number, since it is larger than the sum of its proper divisors (147672160).

249861249 is an equidigital number, since it uses as much as digits as its factorization.

249861249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The cubic root of 249861249 is about 629.8439598430.

The spelling of 249861249 in words is "two hundred forty-nine million, eight hundred sixty-one thousand, two hundred forty-nine".