395264 has 24 divisors (see below), whose sum is σ = 794430. Its totient is φ = 196608.

The previous prime is 395261. The next prime is 395273. The reversal of 395264 is 462593.

It can be written as a sum of positive squares in only one way, i.e., 369664 + 25600 = 608^2 + 160^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1952 + ... + 2144.

395264 is a Friedman number, since it can be written as 4^6*(95+3/2), using all its digits and the basic arithmetic operations.

2³⁹⁵²⁶⁴ 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 395264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397215).

395264 is an abundant number, since it is smaller than the sum of its proper divisors (399166).

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

395264 is an equidigital number, since it uses as much as digits as its factorization.

395264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 395264 is about 628.7002465404. The cubic root of 395264 is about 73.3886818147.

The spelling of 395264 in words is "three hundred ninety-five thousand, two hundred sixty-four".