395312400 has 540 divisors, whose sum is σ = 1674861552. Its totient is φ = 89268480.

The previous prime is 395312399. The next prime is 395312417. The reversal of 395312400 is 4213593.

395312400 is a `hidden beast` number, since 395 + 31 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4762759 + ... + 4762841.

Almost surely, 2^395312400 is an apocalyptic number.

395312400 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 395312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837430776).

395312400 is an abundant number, since it is smaller than the sum of its proper divisors (1279549152).

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

395312400 is a wasteful number, since it uses less digits than its factorization.

395312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 395312400 is about 19882.4646359550. The cubic root of 395312400 is about 733.9167716910.

Adding to 395312400 its reverse (4213593), we get a palindrome (399525993).

The spelling of 395312400 in words is "three hundred ninety-five million, three hundred twelve thousand, four hundred".