480249 has 45 divisors (see below), whose sum is σ = 917301. Its totient is φ = 249480.

The previous prime is 480209. The next prime is 480287. The reversal of 480249 is 942084.

The square root of 480249 is 693.

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

It is not a de Polignac number, because 480249 - 2¹³ = 472057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

480249 is a Rhonda number in base 6.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480249.

It is not an unprimeable number, because it can be changed into a prime (480209) 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 44 ways as a sum of consecutive naturals, for example, 43654 + ... + 43664.

2⁴⁸⁰²⁴⁹ is an apocalyptic number.

480249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

480249 is the 693-rd square number.

480249 is the 347-th centered octagonal number.

It is an amenable number.

480249 is a deficient number, since it is larger than the sum of its proper divisors (437052).

480249 is a wasteful number, since it uses less digits than its factorization.

480249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 480249 is about 78.3108894002.

Multiplying 480249 by its product of nonzero digits (2304), we get a square (1106493696 = 33264²).

It can be divided in two parts, 4802 and 49, that added together give a triangular number (4851 = T₉₈).

The spelling of 480249 in words is "four hundred eighty thousand, two hundred forty-nine".