395856300 has 144 divisors (see below), whose sum is σ = 1336025600. Its totient is φ = 90457920.

The previous prime is 395856287. The next prime is 395856337. The reversal of 395856300 is 3658593.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 100977 + ... + 104823.

Almost surely, 2^395856300 is an apocalyptic number.

395856300 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 395856300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668012800).

395856300 is an abundant number, since it is smaller than the sum of its proper divisors (940169300).

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

395856300 is a wasteful number, since it uses less digits than its factorization.

395856300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 395856300 is about 19896.1378161692. The cubic root of 395856300 is about 734.2532097413.

The spelling of 395856300 in words is "three hundred ninety-five million, eight hundred fifty-six thousand, three hundred".