395475264 has 112 divisors (see below), whose sum is σ = 1177747200. Its totient is φ = 130111488.

The previous prime is 395475263. The next prime is 395475323. The reversal of 395475264 is 462574593.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395475263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135064 + ... + 137960.

It is an arithmetic number, because the mean of its divisors is an integer number (10515600).

Almost surely, 2^395475264 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 395475264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588873600).

395475264 is an abundant number, since it is smaller than the sum of its proper divisors (782271936).

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

395475264 is a wasteful number, since it uses less digits than its factorization.

395475264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2981 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 395475264 is about 19886.5598834992. The cubic root of 395475264 is about 734.0175461756.

The spelling of 395475264 in words is "three hundred ninety-five million, four hundred seventy-five thousand, two hundred sixty-four".