395632320 has 112 divisors (see below), whose sum is σ = 1275088128. Its totient is φ = 103910400.

The previous prime is 395632319. The next prime is 395632327. The reversal of 395632320 is 23236593.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395632327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61245 + ... + 67395.

Almost surely, 2^395632320 is an apocalyptic number.

395632320 is a gapful number since it is divisible by the number (30) 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 395632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637544064).

395632320 is an abundant number, since it is smaller than the sum of its proper divisors (879455808).

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

395632320 is a wasteful number, since it uses less digits than its factorization.

395632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6238 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 395632320 is about 19890.5082891313. The cubic root of 395632320 is about 734.1147006737.

The spelling of 395632320 in words is "three hundred ninety-five million, six hundred thirty-two thousand, three hundred twenty".