395212500 has 144 divisors (see below), whose sum is σ = 1281792960. Its totient is φ = 105300000.

The previous prime is 395212463. The next prime is 395212513. The reversal of 395212500 is 5212593.

395212500 is a `hidden beast` number, since 395 + 21 + 250 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 336915 + ... + 338085.

It is an arithmetic number, because the mean of its divisors is an integer number (8901340).

Almost surely, 2^395212500 is an apocalyptic number.

395212500 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 395212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640896480).

395212500 is an abundant number, since it is smaller than the sum of its proper divisors (886580460).

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

395212500 is a wasteful number, since it uses less digits than its factorization.

395212500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 395212500 is about 19879.9522132222. The cubic root of 395212500 is about 733.8549434066.

The spelling of 395212500 in words is "three hundred ninety-five million, two hundred twelve thousand, five hundred".