253580 has 24 divisors (see below), whose sum is σ = 551040. Its totient is φ = 97920.

The previous prime is 253573. The next prime is 253601. The reversal of 253580 is 85352.

253580 = 75² + 76² + ... + 105².

253580 is nontrivially palindromic in base 15.

It is a congruent number.

It is an unprimeable number.

253580 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 416 + ... + 824.

It is an arithmetic number, because the mean of its divisors is an integer number (22960).

2²⁵³⁵⁸⁰ is an apocalyptic number.

253580 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 253580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275520).

253580 is an abundant number, since it is smaller than the sum of its proper divisors (297460).

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

253580 is a wasteful number, since it uses less digits than its factorization.

253580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 253580 is about 503.5672745523. The cubic root of 253580 is about 63.2953296162.

The spelling of 253580 in words is "two hundred fifty-three thousand, five hundred eighty".