249480 has 160 divisors (see below), whose sum is σ = 1045440. Its totient is φ = 51840.

The previous prime is 249463. The next prime is 249497. The reversal of 249480 is 84942.

249480 = T₆₅ + T₆₆ + ... + T₁₂₀.

249480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249463) and next prime (249497).

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

It is an unprimeable number.

249480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22675 + ... + 22685.

It is an arithmetic number, because the mean of its divisors is an integer number (6534).

2²⁴⁹⁴⁸⁰ is an apocalyptic number.

249480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522720).

249480 is an abundant number, since it is smaller than the sum of its proper divisors (795960).

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

249480 is a wasteful number, since it uses less digits than its factorization.

249480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 28 counting only the distinct ones).

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

The square root of 249480 is about 499.4797293184. The cubic root of 249480 is about 62.9523449137.

It can be divided in two parts, 249 and 480, that added together give a 6-th power (729 = 3⁶).

The spelling of 249480 in words is "two hundred forty-nine thousand, four hundred eighty".