395133200 has 120 divisors (see below), whose sum is σ = 1183644480. Its totient is φ = 123148800.

The previous prime is 395133199. The next prime is 395133217. The reversal of 395133200 is 2331593.

It is a super-2 number, since 2×395133200² = 312260491484480000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 395133200.

It is an unprimeable number.

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, 24386 + ... + 37214.

It is an arithmetic number, because the mean of its divisors is an integer number (9863704).

Almost surely, 2^395133200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591822240).

395133200 is an abundant number, since it is smaller than the sum of its proper divisors (788511280).

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

395133200 is a wasteful number, since it uses less digits than its factorization.

395133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12865 (or 12854 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 395133200 is about 19877.9576415687. The cubic root of 395133200 is about 733.8058570798.

Adding to 395133200 its reverse (2331593), we get a palindrome (397464793).

The spelling of 395133200 in words is "three hundred ninety-five million, one hundred thirty-three thousand, two hundred".