395971200 has 192 divisors, whose sum is σ = 1449460800. Its totient is φ = 105569280.

The previous prime is 395971181. The next prime is 395971201. The reversal of 395971200 is 2179593.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (395971201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84109 + ... + 88691.

It is an arithmetic number, because the mean of its divisors is an integer number (7549275).

Almost surely, 2^395971200 is an apocalyptic number.

395971200 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 395971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724730400).

395971200 is an abundant number, since it is smaller than the sum of its proper divisors (1053489600).

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

395971200 is a wasteful number, since it uses less digits than its factorization.

395971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 395971200 is about 19899.0251017481. The cubic root of 395971200 is about 734.3242435420.

The spelling of 395971200 in words is "three hundred ninety-five million, nine hundred seventy-one thousand, two hundred".