395390160 has 360 divisors, whose sum is σ = 1537964064. Its totient is φ = 93623040.

The previous prime is 395390153. The next prime is 395390167. The reversal of 395390160 is 61093593.

It is an interprime number because it is at equal distance from previous prime (395390153) and next prime (395390167).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395390167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9195099 + ... + 9195141.

Almost surely, 2^395390160 is an apocalyptic number.

395390160 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 395390160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768982032).

395390160 is an abundant number, since it is smaller than the sum of its proper divisors (1142573904).

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

395390160 is a wasteful number, since it uses less digits than its factorization.

395390160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 395390160 is about 19884.4200317736. The cubic root of 395390160 is about 733.9648902816.

The spelling of 395390160 in words is "three hundred ninety-five million, three hundred ninety thousand, one hundred sixty".