395345232 has 160 divisors (see below), whose sum is σ = 1195637760. Its totient is φ = 124899840.

The previous prime is 395345231. The next prime is 395345233. The reversal of 395345232 is 232543593.

395345232 is a `hidden beast` number, since 395 + 34 + 5 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (395345231) and next prime (395345233).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395345231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709498 + ... + 710054.

It is an arithmetic number, because the mean of its divisors is an integer number (7472736).

Almost surely, 2^395345232 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 395345232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597818880).

395345232 is an abundant number, since it is smaller than the sum of its proper divisors (800292528).

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

395345232 is a wasteful number, since it uses less digits than its factorization.

395345232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 646 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 395345232 is about 19883.2902709788. The cubic root of 395345232 is about 733.9370891988.

The spelling of 395345232 in words is "three hundred ninety-five million, three hundred forty-five thousand, two hundred thirty-two".