395562320 has 80 divisors (see below), whose sum is σ = 969647760. Its totient is φ = 149839872.

The previous prime is 395562319. The next prime is 395562353. The reversal of 395562320 is 23265593.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32126224 + 363436096 = 5668^2 + 19064^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 121352 + ... + 124568.

It is an arithmetic number, because the mean of its divisors is an integer number (12120597).

Almost surely, 2^395562320 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 395562320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484823880).

395562320 is an abundant number, since it is smaller than the sum of its proper divisors (574085440).

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

395562320 is a wasteful number, since it uses less digits than its factorization.

395562320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The square root of 395562320 is about 19888.7485780277. The cubic root of 395562320 is about 734.0714020034.

The spelling of 395562320 in words is "three hundred ninety-five million, five hundred sixty-two thousand, three hundred twenty".