395579360401 has 9 divisors (see below), whose sum is σ = 403217925691. Its totient is φ = 388082893432.

The previous prime is 395579360383. The next prime is 395579360443. The reversal of 395579360401 is 104063975593.

The square root of 395579360401 is 628951.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 285172020225 + 110407340176 = 534015^2 + 332276^2 .

It is not a de Polignac number, because 395579360401 - 2⁵ = 395579360369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (395579460401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33328470 + ... + 33340336.

Almost surely, 2^395579360401 is an apocalyptic number.

395579360401 is the 628951-st square number.

395579360401 is the 314476-th centered octagonal number.

It is an amenable number.

395579360401 is a deficient number, since it is larger than the sum of its proper divisors (7638565290).

395579360401 is an frugal number, since it uses more digits than its factorization.

395579360401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23840 (or 11920 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 52.

The spelling of 395579360401 in words is "three hundred ninety-five billion, five hundred seventy-nine million, three hundred sixty thousand, four hundred one".