1395900160 has 72 divisors (see below), whose sum is σ = 3389646960. Its totient is φ = 550674432.

The previous prime is 1395900139. The next prime is 1395900161. The reversal of 1395900160 is 610095931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395900161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85971 + ... + 100909.

It is an arithmetic number, because the mean of its divisors is an integer number (47078430).

Almost surely, 2^1395900160 is an apocalyptic number.

1395900160 is a gapful number since it is divisible by the number (10) 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 1395900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694823480).

1395900160 is an abundant number, since it is smaller than the sum of its proper divisors (1993746800).

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

1395900160 is an equidigital number, since it uses as much as digits as its factorization.

1395900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15033 (or 15019 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 34.

The square root of 1395900160 is about 37361.7472824813. The cubic root of 1395900160 is about 1117.5958635004.

The spelling of 1395900160 in words is "one billion, three hundred ninety-five million, nine hundred thousand, one hundred sixty".