395356680 has 128 divisors (see below), whose sum is σ = 1342915200. Its totient is φ = 103424256.

The previous prime is 395356669. The next prime is 395356711. The reversal of 395356680 is 86653593.

395356680 is a `hidden beast` number, since 3 + 9 + 5 + 3 + 566 + 80 = 666.

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 31 ways as a sum of consecutive naturals, for example, 53787 + ... + 60693.

It is an arithmetic number, because the mean of its divisors is an integer number (10491525).

Almost surely, 2^395356680 is an apocalyptic number.

395356680 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 395356680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671457600).

395356680 is an abundant number, since it is smaller than the sum of its proper divisors (947558520).

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

395356680 is a wasteful number, since it uses less digits than its factorization.

395356680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 395356680 is about 19883.5781488142. The cubic root of 395356680 is about 733.9441733285.

The spelling of 395356680 in words is "three hundred ninety-five million, three hundred fifty-six thousand, six hundred eighty".