395402400 has 108 divisors (see below), whose sum is σ = 1394313102. Its totient is φ = 105438720.

The previous prime is 395402377. The next prime is 395402411. The reversal of 395402400 is 4204593.

It can be written as a sum of positive squares in 3 ways, for example, as 265168656 + 130233744 = 16284^2 + 11412^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20259 + ... + 34658.

Almost surely, 2^395402400 is an apocalyptic number.

395402400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395402400 is an abundant number, since it is smaller than the sum of its proper divisors (998910702).

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

395402400 is a wasteful number, since it uses less digits than its factorization.

395402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54943 (or 54927 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 395402400 is about 19884.7278080440. The cubic root of 395402400 is about 733.9724639295.

Adding to 395402400 its reverse (4204593), we get a palindrome (399606993).

The spelling of 395402400 in words is "three hundred ninety-five million, four hundred two thousand, four hundred".