395760 has 80 divisors (see below), whose sum is σ = 1312416. Its totient is φ = 98304.

The previous prime is 395749. The next prime is 395767. The reversal of 395760 is 67593.

It is a tau number, because it is divible by the number of its divisors (80).

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 (395767) by changing a digit.

395760 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 15 ways as a sum of consecutive naturals, for example, 4032 + ... + 4128.

2³⁹⁵⁷⁶⁰ is an apocalyptic number.

395760 is a gapful number since it is divisible by the number (30) 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 395760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208).

395760 is an abundant number, since it is smaller than the sum of its proper divisors (916656).

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

395760 is a wasteful number, since it uses less digits than its factorization.

395760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 395760 is about 629.0945874827. The cubic root of 395760 is about 73.4193664296.

The spelling of 395760 in words is "three hundred ninety-five thousand, seven hundred sixty".