253260 has 96 divisors (see below), whose sum is σ = 913920. Its totient is φ = 57024.

The previous prime is 253247. The next prime is 253273. The reversal of 253260 is 62352.

It is an interprime number because it is at equal distance from previous prime (253247) and next prime (253273).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3747 + ... + 3813.

It is an arithmetic number, because the mean of its divisors is an integer number (9520).

2²⁵³²⁶⁰ is an apocalyptic number.

253260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

253260 is the 252-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456960).

253260 is an abundant number, since it is smaller than the sum of its proper divisors (660660).

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

253260 is a wasteful number, since it uses less digits than its factorization.

253260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 253260 is about 503.2494411323. The cubic root of 253260 is about 63.2686936678.

The spelling of 253260 in words is "two hundred fifty-three thousand, two hundred sixty".