395318880 has 480 divisors, whose sum is σ = 1580705280. Its totient is φ = 92206080.

The previous prime is 395318849. The next prime is 395318899. The reversal of 395318880 is 88813593.

395318880 is a `hidden beast` number, since 39 + 531 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 6700291 + ... + 6700349.

It is an arithmetic number, because the mean of its divisors is an integer number (3293136).

Almost surely, 2^395318880 is an apocalyptic number.

395318880 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 395318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790352640).

395318880 is an abundant number, since it is smaller than the sum of its proper divisors (1185386400).

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

395318880 is a wasteful number, since it uses less digits than its factorization.

395318880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 395318880 is about 19882.6275929516. The cubic root of 395318880 is about 733.9207818145.

The spelling of 395318880 in words is "three hundred ninety-five million, three hundred eighteen thousand, eight hundred eighty".