395930400 has 144 divisors (see below), whose sum is σ = 1296792000. Its totient is φ = 104924160.

The previous prime is 395930387. The next prime is 395930413. The reversal of 395930400 is 4039593.

It is an interprime number because it is at equal distance from previous prime (395930387) and next prime (395930413).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477186 + ... + 478014.

It is an arithmetic number, because the mean of its divisors is an integer number (9005500).

Almost surely, 2^395930400 is an apocalyptic number.

395930400 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 395930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648396000).

395930400 is an abundant number, since it is smaller than the sum of its proper divisors (900861600).

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

395930400 is a wasteful number, since it uses less digits than its factorization.

395930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 395930400 is about 19897.9998994874. Note that the first 3 decimals coincide. The cubic root of 395930400 is about 734.2990216250.

Adding to 395930400 its reverse (4039593), we get a palindrome (399969993).

The spelling of 395930400 in words is "three hundred ninety-five million, nine hundred thirty thousand, four hundred".