395600 has 60 divisors (see below), whose sum is σ = 1014816. Its totient is φ = 147840.

The previous prime is 395597. The next prime is 395611. The reversal of 395600 is 6593.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9179 + ... + 9221.

2³⁹⁵⁶⁰⁰ 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 395600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507408).

395600 is an abundant number, since it is smaller than the sum of its proper divisors (619216).

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

395600 is a wasteful number, since it uses less digits than its factorization.

395600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 395600 is about 628.9674077407. The cubic root of 395600 is about 73.4094709694.

The spelling of 395600 in words is "three hundred ninety-five thousand, six hundred".