253350 has 36 divisors (see below), whose sum is σ = 681876. Its totient is φ = 67440.

The previous prime is 253349. The next prime is 253361. The reversal of 253350 is 53352.

253350 is nontrivially palindromic in base 14.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 169 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (18941).

2²⁵³³⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340938).

253350 is an abundant number, since it is smaller than the sum of its proper divisors (428526).

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

253350 is a wasteful number, since it uses less digits than its factorization.

253350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 253350 is about 503.3388520669. The cubic root of 253350 is about 63.2761872950.

It can be divided in two parts, 25 and 3350, that added together give a cube (3375 = 15³).

The spelling of 253350 in words is "two hundred fifty-three thousand, three hundred fifty".