249761252 has 24 divisors (see below), whose sum is σ = 473717496. Its totient is φ = 114536448.

The previous prime is 249761227. The next prime is 249761261. The reversal of 249761252 is 252167942.

It can be written as a sum of positive squares in 4 ways, for example, as 8145316 + 241615936 = 2854^2 + 15544^2 .

It is a super-4 number, since 4×249761252⁴ (a number of 35 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7133 + ... + 23460.

It is an arithmetic number, because the mean of its divisors is an integer number (19738229).

Almost surely, 2^249761252 is an apocalyptic number.

It is an amenable number.

249761252 is a deficient number, since it is larger than the sum of its proper divisors (223956244).

249761252 is a wasteful number, since it uses less digits than its factorization.

249761252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30767 (or 30765 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 249761252 is about 15803.8366227951. The cubic root of 249761252 is about 629.7599253230.

The spelling of 249761252 in words is "two hundred forty-nine million, seven hundred sixty-one thousand, two hundred fifty-two".