395145632 has 96 divisors (see below), whose sum is σ = 914239872. Its totient is φ = 164634624.

The previous prime is 395145587. The next prime is 395145697. The reversal of 395145632 is 236541593.

It is a super-2 number, since 2×395145632² = 312280140977358848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695788 + ... + 1696020.

It is an arithmetic number, because the mean of its divisors is an integer number (9523332).

Almost surely, 2^395145632 is an apocalyptic number.

395145632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395145632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457119936).

395145632 is an abundant number, since it is smaller than the sum of its proper divisors (519094240).

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

395145632 is a wasteful number, since it uses less digits than its factorization.

395145632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its digits is 97200, while the sum is 38.

The square root of 395145632 is about 19878.2703472913. The cubic root of 395145632 is about 733.8135528634.

The spelling of 395145632 in words is "three hundred ninety-five million, one hundred forty-five thousand, six hundred thirty-two".