395550 has 48 divisors (see below), whose sum is σ = 1093680. Its totient is φ = 105120.

The previous prime is 395543. The next prime is 395581. The reversal of 395550 is 55593.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

395550 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 23 ways as a sum of consecutive naturals, for example, 1204 + ... + 1496.

It is an arithmetic number, because the mean of its divisors is an integer number (22785).

2³⁹⁵⁵⁵⁰ is an apocalyptic number.

395550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 395550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546840).

395550 is an abundant number, since it is smaller than the sum of its proper divisors (698130).

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

395550 is a wasteful number, since it uses less digits than its factorization.

395550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 395550 is about 628.9276587971. The cubic root of 395550 is about 73.4063780909.

It can be divided in two parts, 3955 and 50, that added together give a triangular number (4005 = T₈₉).

The spelling of 395550 in words is "three hundred ninety-five thousand, five hundred fifty".