395232 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 125312.

The previous prime is 395231. The next prime is 395243. The reversal of 395232 is 232593.

395232 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 3 + 9 + 2⁸ + 5⁸ + 3⁵ + 2¹² .

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2119 + ... + 2297.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2³⁹⁵²³² is an apocalyptic number.

395232 is a gapful number since it is divisible by the number (32) 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 395232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

395232 is an abundant number, since it is smaller than the sum of its proper divisors (693408).

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

395232 is a wasteful number, since it uses less digits than its factorization.

395232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 395232 is about 628.6747966954. The cubic root of 395232 is about 73.3867012809.

The spelling of 395232 in words is "three hundred ninety-five thousand, two hundred thirty-two".