253830 has 16 divisors (see below), whose sum is σ = 609264. Its totient is φ = 67680.

The previous prime is 253823. The next prime is 253853. The reversal of 253830 is 38352.

It is a junction number, because it is equal to n+sod(n) for n = 253797 and 253806.

It is a congruent number.

It is an unprimeable number.

253830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4201 + ... + 4260.

It is an arithmetic number, because the mean of its divisors is an integer number (38079).

2²⁵³⁸³⁰ is an apocalyptic number.

253830 is an abundant number, since it is smaller than the sum of its proper divisors (355434).

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

253830 is a wasteful number, since it uses less digits than its factorization.

253830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8471.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 253830 is about 503.8154423993. The cubic root of 253830 is about 63.3161233632.

The spelling of 253830 in words is "two hundred fifty-three thousand, eight hundred thirty".