395066160 has 200 divisors, whose sum is σ = 1406534976. Its totient is φ = 102712320.

The previous prime is 395066141. The next prime is 395066167. The reversal of 395066160 is 61660593.

395066160 is a `hidden beast` number, since 39 + 5 + 0 + 6 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (395066167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 264937 + ... + 266423.

Almost surely, 2^395066160 is an apocalyptic number.

395066160 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 395066160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703267488).

395066160 is an abundant number, since it is smaller than the sum of its proper divisors (1011468816).

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

395066160 is a wasteful number, since it uses less digits than its factorization.

395066160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 395066160 is about 19876.2712800968. The cubic root of 395066160 is about 733.7643545122.

The spelling of 395066160 in words is "three hundred ninety-five million, sixty-six thousand, one hundred sixty".