395880480 has 96 divisors (see below), whose sum is σ = 1385596800. Its totient is φ = 105566976.

The previous prime is 395880469. The next prime is 395880497. The reversal of 395880480 is 84088593.

395880480 is a `hidden beast` number, since 3 + 95 + 8 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41500 + ... + 50139.

It is an arithmetic number, because the mean of its divisors is an integer number (14433300).

Almost surely, 2^395880480 is an apocalyptic number.

395880480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395880480 is an abundant number, since it is smaller than the sum of its proper divisors (989716320).

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

395880480 is a wasteful number, since it uses less digits than its factorization.

395880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91663 (or 91649 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 395880480 is about 19896.7454625122. The cubic root of 395880480 is about 734.2681595106.

The spelling of 395880480 in words is "three hundred ninety-five million, eight hundred eighty thousand, four hundred eighty".