395460646560 has 432 divisors, whose sum is σ = 1652466160800. Its totient is φ = 85633293312.

The previous prime is 395460646501. The next prime is 395460646583. The reversal of 395460646560 is 65646064593.

395460646560 is a `hidden beast` number, since 3 + 9 + 5 + 460 + 64 + 65 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 395460646497 and 395460646506.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1193151 + ... + 1488129.

It is an arithmetic number, because the mean of its divisors is an integer number (3825153150).

Almost surely, 2^395460646560 is an apocalyptic number.

395460646560 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 395460646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826233080400).

395460646560 is an abundant number, since it is smaller than the sum of its proper divisors (1257005514240).

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

395460646560 is a wasteful number, since it uses less digits than its factorization.

395460646560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295033 (or 295015 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 395460646560 in words is "three hundred ninety-five billion, four hundred sixty million, six hundred forty-six thousand, five hundred sixty".