395901000 has 512 divisors, whose sum is σ = 1581465600. Its totient is φ = 90720000.

The previous prime is 395900987. The next prime is 395901007. The reversal of 395901000 is 109593.

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

It is not an unprimeable number, because it can be changed into a prime (395901007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9206979 + ... + 9207021.

It is an arithmetic number, because the mean of its divisors is an integer number (3088800).

Almost surely, 2^395901000 is an apocalyptic number.

395901000 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 395901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790732800).

395901000 is an abundant number, since it is smaller than the sum of its proper divisors (1185564600).

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

395901000 is a wasteful number, since it uses less digits than its factorization.

395901000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 395901000 is about 19897.2611180534. The cubic root of 395901000 is about 734.2808459342.

The spelling of 395901000 in words is "three hundred ninety-five million, nine hundred one thousand".