395605080 has 256 divisors, whose sum is σ = 1495872000. Its totient is φ = 92192256.

The previous prime is 395605027. The next prime is 395605087. The reversal of 395605080 is 80506593.

395605080 is a `hidden beast` number, since 3 + 95 + 60 + 508 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395605087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266019 + ... + 267501.

It is an arithmetic number, because the mean of its divisors is an integer number (5843250).

Almost surely, 2^395605080 is an apocalyptic number.

395605080 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 395605080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747936000).

395605080 is an abundant number, since it is smaller than the sum of its proper divisors (1100266920).

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

395605080 is a wasteful number, since it uses less digits than its factorization.

395605080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 395605080 is about 19889.8235286289. The cubic root of 395605080 is about 734.0978519125.

The spelling of 395605080 in words is "three hundred ninety-five million, six hundred five thousand, eighty".