395679960 has 192 divisors, whose sum is σ = 1409335200. Its totient is φ = 95680512.

The previous prime is 395679943. The next prime is 395679983. The reversal of 395679960 is 69976593.

It is a junction number, because it is equal to n+sod(n) for n = 395679897 and 395679906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275404 + ... + 276836.

Almost surely, 2^395679960 is an apocalyptic number.

395679960 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 395679960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704667600).

395679960 is an abundant number, since it is smaller than the sum of its proper divisors (1013655240).

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

395679960 is a wasteful number, since it uses less digits than its factorization.

395679960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 395679960 is about 19891.7058092060. The cubic root of 395679960 is about 734.1441655909.

The spelling of 395679960 in words is "three hundred ninety-five million, six hundred seventy-nine thousand, nine hundred sixty".