395215200 has 432 divisors, whose sum is σ = 1535526720. Its totient is φ = 98910720.

The previous prime is 395215189. The next prime is 395215243. The reversal of 395215200 is 2512593.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×395215200² = 312390108622080000, which contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3693547 + ... + 3693653.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^395215200 is an apocalyptic number.

395215200 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 395215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767763360).

395215200 is an abundant number, since it is smaller than the sum of its proper divisors (1140311520).

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

395215200 is a wasteful number, since it uses less digits than its factorization.

395215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

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

The square root of 395215200 is about 19880.0201207142. The cubic root of 395215200 is about 733.8566145783.

Adding to 395215200 its reverse (2512593), we get a palindrome (397727793).

The spelling of 395215200 in words is "three hundred ninety-five million, two hundred fifteen thousand, two hundred".