395520 has 72 divisors (see below), whose sum is σ = 1275456. Its totient is φ = 104448.

The previous prime is 395513. The next prime is 395533. The reversal of 395520 is 25593.

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

It is an unprimeable number.

395520 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 7 ways as a sum of consecutive naturals, for example, 3789 + ... + 3891.

2³⁹⁵⁵²⁰ is an apocalyptic number.

395520 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 395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637728).

395520 is an abundant number, since it is smaller than the sum of its proper divisors (879936).

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

395520 is a wasteful number, since it uses less digits than its factorization.

395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 395520 is about 628.9038082251. The cubic root of 395520 is about 73.4045222387.

The spelling of 395520 in words is "three hundred ninety-five thousand, five hundred twenty".