395010000 has 800 divisors, whose sum is σ = 1859404800. Its totient is φ = 77760000.

The previous prime is 395009983. The next prime is 395010013. The reversal of 395010000 is 10593.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 20789991 + ... + 20790009.

It is an arithmetic number, because the mean of its divisors is an integer number (2324256).

Almost surely, 2^395010000 is an apocalyptic number.

395010000 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 395010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929702400).

395010000 is an abundant number, since it is smaller than the sum of its proper divisors (1464394800).

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

395010000 is a wasteful number, since it uses less digits than its factorization.

395010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 395010000 is about 19874.8584900623. The cubic root of 395010000 is about 733.7295838306.

Adding to 395010000 its reverse (10593), we get a palindrome (395020593).

The spelling of 395010000 in words is "three hundred ninety-five million, ten thousand".