395850 has 96 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 80640.

The previous prime is 395849. The next prime is 395851. The reversal of 395850 is 58593.

395850 = T₄₄ + T₄₅ + ... + T₁₃₄.

It is an interprime number because it is at equal distance from previous prime (395849) and next prime (395851).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13636 + ... + 13664.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2³⁹⁵⁸⁵⁰ is an apocalyptic number.

395850 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 395850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

395850 is an abundant number, since it is smaller than the sum of its proper divisors (854070).

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

395850 is a wasteful number, since it uses less digits than its factorization.

395850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 395850 is about 629.1661147900. The cubic root of 395850 is about 73.4249314540.

It can be divided in two parts, 39 and 5850, that multiplied together give a triangular number (228150 = T₆₇₅).

The spelling of 395850 in words is "three hundred ninety-five thousand, eight hundred fifty".