395604 has 72 divisors (see below), whose sum is σ = 1161888. Its totient is φ = 116640.

The previous prime is 395597. The next prime is 395611. The reversal of 395604 is 406593.

395604 = 9³ + 10³ + ... + 35³.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (395597) and next prime (395611).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10674 + ... + 10710.

2³⁹⁵⁶⁰⁴ 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 395604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580944).

395604 is an abundant number, since it is smaller than the sum of its proper divisors (766284).

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

395604 is a wasteful number, since it uses less digits than its factorization.

395604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 395604 is about 628.9705875476. The cubic root of 395604 is about 73.4097183884.

It can be divided in two parts, 395 and 604, that added together give a palindrome (999).

The spelling of 395604 in words is "three hundred ninety-five thousand, six hundred four".