395971520 has 112 divisors (see below), whose sum is σ = 1102937088. Its totient is φ = 132572160.

The previous prime is 395971517. The next prime is 395971547. The reversal of 395971520 is 25179593.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×395971520² = 313586889302220800, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 94265 + ... + 98375.

Almost surely, 2^395971520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551468544).

395971520 is an abundant number, since it is smaller than the sum of its proper divisors (706965568).

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

395971520 is a wasteful number, since it uses less digits than its factorization.

395971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 41.

The square root of 395971520 is about 19899.0331423414. The cubic root of 395971520 is about 734.3244413541.

The spelling of 395971520 in words is "three hundred ninety-five million, nine hundred seventy-one thousand, five hundred twenty".