250120 has 48 divisors (see below), whose sum is σ = 625860. Its totient is φ = 89856.

The previous prime is 250109. The next prime is 250123. The reversal of 250120 is 21052.

It can be written as a sum of positive squares in 6 ways, for example, as 68644 + 181476 = 262^2 + 426^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 250097 and 250106.

It is not an unprimeable number, because it can be changed into a prime (250123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6742 + ... + 6778.

2²⁵⁰¹²⁰ is an apocalyptic number.

250120 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 250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312930).

250120 is an abundant number, since it is smaller than the sum of its proper divisors (375740).

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

250120 is a wasteful number, since it uses less digits than its factorization.

250120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 250120 is about 500.1199856035. The cubic root of 250120 is about 63.0061302509.

Adding to 250120 its reverse (21052), we get a palindrome (271172).

The spelling of 250120 in words is "two hundred fifty thousand, one hundred twenty".