395220 has 48 divisors (see below), whose sum is σ = 1266048. Its totient is φ = 90240.

The previous prime is 395201. The next prime is 395231. The reversal of 395220 is 22593.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

395220 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 15 ways as a sum of consecutive naturals, for example, 51 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (26376).

2³⁹⁵²²⁰ is an apocalyptic number.

395220 is a gapful number since it is divisible by the number (30) 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 395220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633024).

395220 is an abundant number, since it is smaller than the sum of its proper divisors (870828).

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

395220 is a wasteful number, since it uses less digits than its factorization.

395220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 395220 is about 628.6652527379. The cubic root of 395220 is about 73.3859585531.

The spelling of 395220 in words is "three hundred ninety-five thousand, two hundred twenty".