253820 has 48 divisors (see below), whose sum is σ = 638400. Its totient is φ = 84672.

The previous prime is 253819. The next prime is 253823. The reversal of 253820 is 28352.

253820 is nontrivially palindromic in base 13.

253820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 253792 and 253801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6842 + ... + 6878.

It is an arithmetic number, because the mean of its divisors is an integer number (13300).

2²⁵³⁸²⁰ is an apocalyptic number.

253820 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 253820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319200).

253820 is an abundant number, since it is smaller than the sum of its proper divisors (384580).

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

253820 is a wasteful number, since it uses less digits than its factorization.

253820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 253820 is about 503.8055180325. The cubic root of 253820 is about 63.3152918756.

The spelling of 253820 in words is "two hundred fifty-three thousand, eight hundred twenty".