395805300 has 144 divisors (see below), whose sum is σ = 1256711232. Its totient is φ = 95385600.

The previous prime is 395805287. The next prime is 395805301. The reversal of 395805300 is 3508593.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395805301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 913884 + ... + 914316.

Almost surely, 2^395805300 is an apocalyptic number.

395805300 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 395805300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628355616).

395805300 is an abundant number, since it is smaller than the sum of its proper divisors (860905932).

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

395805300 is a wasteful number, since it uses less digits than its factorization.

395805300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 395805300 is about 19894.8561191078. The cubic root of 395805300 is about 734.2216759735.

The spelling of 395805300 in words is "three hundred ninety-five million, eight hundred five thousand, three hundred".