1395831360 has 448 divisors, whose sum is σ = 5772570624. Its totient is φ = 277094400.

The previous prime is 1395831343. The next prime is 1395831377. The reversal of 1395831360 is 631385931.

It is an interprime number because it is at equal distance from previous prime (1395831343) and next prime (1395831377).

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1699750 + ... + 1700570.

Almost surely, 2^1395831360 is an apocalyptic number.

1395831360 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 1395831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886285312).

1395831360 is an abundant number, since it is smaller than the sum of its proper divisors (4376739264).

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

1395831360 is a wasteful number, since it uses less digits than its factorization.

1395831360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 1395831360 is about 37360.8265433194. The cubic root of 1395831360 is about 1117.5775021445.

The spelling of 1395831360 in words is "one billion, three hundred ninety-five million, eight hundred thirty-one thousand, three hundred sixty".