480000249 has 40 divisors (see below), whose sum is σ = 779201280. Its totient is φ = 293349600.

The previous prime is 480000233. The next prime is 480000263. The reversal of 480000249 is 942000084.

It is not a de Polignac number, because 480000249 - 2⁴ = 480000233 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (480000649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42679 + ... + 52739.

It is an arithmetic number, because the mean of its divisors is an integer number (19480032).

Almost surely, 2^480000249 is an apocalyptic number.

It is an amenable number.

480000249 is a deficient number, since it is larger than the sum of its proper divisors (299201031).

480000249 is a wasteful number, since it uses less digits than its factorization.

480000249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10123 (or 10114 counting only the distinct ones).

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

The square root of 480000249 is about 21908.9079828274. The cubic root of 480000249 is about 782.9736636229.

It can be divided in two parts, 480000 and 249, that added together give a square (480249 = 693²).

The spelling of 480000249 in words is "four hundred eighty million, two hundred forty-nine", and thus it is an aban number.