395830680 has 128 divisors (see below), whose sum is σ = 1376455680. Its totient is φ = 89187840.

The previous prime is 395830649. The next prime is 395830681. The reversal of 395830680 is 86038593.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395830681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56322 + ... + 62958.

It is an arithmetic number, because the mean of its divisors is an integer number (10753560).

Almost surely, 2^395830680 is an apocalyptic number.

395830680 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 395830680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688227840).

395830680 is an abundant number, since it is smaller than the sum of its proper divisors (980625000).

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

395830680 is a wasteful number, since it uses less digits than its factorization.

395830680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6729 (or 6725 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 395830680 is about 19895.4939622016. The cubic root of 395830680 is about 734.2373689989.

The spelling of 395830680 in words is "three hundred ninety-five million, eight hundred thirty thousand, six hundred eighty".