382476249 has 45 divisors (see below), whose sum is σ = 596886829. Its totient is φ = 244071360.

The previous prime is 382476247. The next prime is 382476253. The reversal of 382476249 is 942674283.

The square root of 382476249 is 19557.

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

It can be written as a sum of positive squares in 4 ways, for example, as 41409225 + 341067024 = 6435^2 + 18468^2 .

It is not a de Polignac number, because 382476249 - 2¹ = 382476247 is a prime.

It is a super-2 number, since 2×382476249² = 292576162098220002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (382476247) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 7216507 + ... + 7216559.

Almost surely, 2^382476249 is an apocalyptic number.

382476249 is the 19557-th square number.

382476249 is the 9779-th centered octagonal number.

It is an amenable number.

382476249 is a deficient number, since it is larger than the sum of its proper divisors (214410580).

382476249 is an frugal number, since it uses more digits than its factorization.

382476249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 97 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The cubic root of 382476249 is about 725.8855601326.

The spelling of 382476249 in words is "three hundred eighty-two million, four hundred seventy-six thousand, two hundred forty-nine".