395751680 has 72 divisors (see below), whose sum is σ = 971198424. Its totient is φ = 154419200.

The previous prime is 395751679. The next prime is 395751683. The reversal of 395751680 is 86157593.

It can be written as a sum of positive squares in 4 ways, for example, as 12845056 + 382906624 = 3584^2 + 19568^2 .

It is not an unprimeable number, because it can be changed into a prime (395751683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48710 + ... + 56250.

It is an arithmetic number, because the mean of its divisors is an integer number (13488867).

Almost surely, 2^395751680 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 395751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485599212).

395751680 is an abundant number, since it is smaller than the sum of its proper divisors (575446744).

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

395751680 is an equidigital number, since it uses as much as digits as its factorization.

395751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7603 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 44.

The square root of 395751680 is about 19893.5084889519. The cubic root of 395751680 is about 734.1885193144.

The spelling of 395751680 in words is "three hundred ninety-five million, seven hundred fifty-one thousand, six hundred eighty".