488281249 has 8 divisors (see below), whose sum is σ = 494038152. Its totient is φ = 482549760.

The previous prime is 488281243. The next prime is 488281291. The reversal of 488281249 is 942182884.

It can be written as a sum of positive squares in 4 ways, for example, as 5688225 + 482593024 = 2385^2 + 21968^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 488281249 - 2⁷ = 488281121 is a prime.

It is a super-3 number, since 3×488281249³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a plaindrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 488281199 and 488281208.

It is not an unprimeable number, because it can be changed into a prime (488281243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33769 + ... + 46009.

It is an arithmetic number, because the mean of its divisors is an integer number (61754769).

Almost surely, 2^488281249 is an apocalyptic number.

It is an amenable number.

488281249 is a deficient number, since it is larger than the sum of its proper divisors (5756903).

488281249 is a wasteful number, since it uses less digits than its factorization.

488281249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12707.

The product of its digits is 294912, while the sum is 46.

The square root of 488281249 is about 22097.0868894522. The cubic root of 488281249 is about 787.4506556467.

The spelling of 488281249 in words is "four hundred eighty-eight million, two hundred eighty-one thousand, two hundred forty-nine".