395408520 has 128 divisors (see below), whose sum is σ = 1419465600. Its totient is φ = 97327872.

The previous prime is 395408513. The next prime is 395408537. The reversal of 395408520 is 25804593.

395408520 is a `hidden beast` number, since 3 + 95 + 40 + 8 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42 + ... + 28121.

It is an arithmetic number, because the mean of its divisors is an integer number (11089575).

Almost surely, 2^395408520 is an apocalyptic number.

395408520 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 395408520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709732800).

395408520 is an abundant number, since it is smaller than the sum of its proper divisors (1024057080).

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

395408520 is a wasteful number, since it uses less digits than its factorization.

395408520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28196 (or 28186 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 395408520 is about 19884.8816943929. The cubic root of 395408520 is about 733.9762506948.

The spelling of 395408520 in words is "three hundred ninety-five million, four hundred eight thousand, five hundred twenty".