395686620 has 168 divisors, whose sum is σ = 1424187744. Its totient is φ = 90419328.

The previous prime is 395686619. The next prime is 395686631. The reversal of 395686620 is 26686593.

It is a happy number.

395686620 is a `hidden beast` number, since 3 + 9 + 568 + 66 + 20 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 100122 + ... + 103998.

It is an arithmetic number, because the mean of its divisors is an integer number (8477308).

Almost surely, 2^395686620 is an apocalyptic number.

395686620 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 395686620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712093872).

395686620 is an abundant number, since it is smaller than the sum of its proper divisors (1028501124).

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

395686620 is a wasteful number, since it uses less digits than its factorization.

395686620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 395686620 is about 19891.8732149589. The cubic root of 395686620 is about 734.1482845534.

The spelling of 395686620 in words is "three hundred ninety-five million, six hundred eighty-six thousand, six hundred twenty".