395214400 has 189 divisors, whose sum is σ = 1147403217. Its totient is φ = 133593600.

The previous prime is 395214397. The next prime is 395214403. The reversal of 395214400 is 4412593.

The square root of 395214400 is 19880.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (395214397) and next prime (395214403).

It can be written as a sum of positive squares in only one way, i.e., 142277184 + 252937216 = 11928^2 + 15904^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (395214403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5566365 + ... + 5566435.

Almost surely, 2^395214400 is an apocalyptic number.

395214400 is the 19880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395214400

395214400 is an abundant number, since it is smaller than the sum of its proper divisors (752188817).

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

395214400 is an equidigital number, since it uses as much as digits as its factorization.

395214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The cubic root of 395214400 is about 733.8561194171.

Adding to 395214400 its reverse (4412593), we get a palindrome (399626993).

The spelling of 395214400 in words is "three hundred ninety-five million, two hundred fourteen thousand, four hundred".