249928506 has 24 divisors (see below), whose sum is σ = 543232404. Its totient is φ = 83044800.

The previous prime is 249928499. The next prime is 249928517. The reversal of 249928506 is 605829942.

It can be written as a sum of positive squares in 2 ways, for example, as 234365481 + 15563025 = 15309^2 + 3945^2 .

It is a super-3 number, since 3×249928506³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16195 + ... + 27606.

Almost surely, 2^249928506 is an apocalyptic number.

249928506 is an abundant number, since it is smaller than the sum of its proper divisors (293303898).

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

249928506 is a wasteful number, since it uses less digits than its factorization.

249928506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44126 (or 44123 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 249928506 is about 15809.1273003920. The cubic root of 249928506 is about 629.9004680251.

The spelling of 249928506 in words is "two hundred forty-nine million, nine hundred twenty-eight thousand, five hundred six".