395064 has 64 divisors (see below), whose sum is σ = 1152000. Its totient is φ = 125280.

The previous prime is 395047. The next prime is 395069. The reversal of 395064 is 460593.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395069) by changing a digit.

395064 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, 6667 + ... + 6725.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2³⁹⁵⁰⁶⁴ 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 395064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576000).

395064 is an abundant number, since it is smaller than the sum of its proper divisors (756936).

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

395064 is a wasteful number, since it uses less digits than its factorization.

395064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

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

The square root of 395064 is about 628.5411681028. The cubic root of 395064 is about 73.3763017239.

The spelling of 395064 in words is "three hundred ninety-five thousand, sixty-four".