395352 has 72 divisors (see below), whose sum is σ = 1197300. Its totient is φ = 117504.

The previous prime is 395323. The next prime is 395377. The reversal of 395352 is 253593.

395352 = T₉₃ + T₉₄ + ... + T₁₄₆.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20799 + ... + 20817.

2³⁹⁵³⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598650).

395352 is an abundant number, since it is smaller than the sum of its proper divisors (801948).

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

395352 is a wasteful number, since it uses less digits than its factorization.

395352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 395352 is about 628.7702283028. The cubic root of 395352 is about 73.3941277317.

It can be divided in two parts, 3953 and 52, that added together give a triangular number (4005 = T₈₉).

The spelling of 395352 in words is "three hundred ninety-five thousand, three hundred fifty-two".