395159040 has 160 divisors (see below), whose sum is σ = 1403883360. Its totient is φ = 105357312.

The previous prime is 395158993. The next prime is 395159047. The reversal of 395159040 is 40951593.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 395158986 and 395159004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395159047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66262 + ... + 71978.

It is an arithmetic number, because the mean of its divisors is an integer number (8774271).

Almost surely, 2^395159040 is an apocalyptic number.

395159040 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 395159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701941680).

395159040 is an abundant number, since it is smaller than the sum of its proper divisors (1008724320).

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

395159040 is an equidigital number, since it uses as much as digits as its factorization.

395159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 395159040 is about 19878.6075971130. The cubic root of 395159040 is about 733.8218526395.

The spelling of 395159040 in words is "three hundred ninety-five million, one hundred fifty-nine thousand, forty".