249520 has 20 divisors (see below), whose sum is σ = 580320. Its totient is φ = 99776.

The previous prime is 249517. The next prime is 249521. The reversal of 249520 is 25942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 249491 and 249500.

It is not an unprimeable number, because it can be changed into a prime (249521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1480 + ... + 1639.

It is an arithmetic number, because the mean of its divisors is an integer number (29016).

2²⁴⁹⁵²⁰ is an apocalyptic number.

249520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249520 is an abundant number, since it is smaller than the sum of its proper divisors (330800).

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

249520 is a wasteful number, since it uses less digits than its factorization.

249520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 249520 is about 499.5197693786. The cubic root of 249520 is about 62.9557091904.

The spelling of 249520 in words is "two hundred forty-nine thousand, five hundred twenty".