1395576000 has 896 divisors, whose sum is σ = 6390558720. Its totient is φ = 290304000.

The previous prime is 1395575947. The next prime is 1395576041. The reversal of 1395576000 is 6755931.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19655965 + ... + 19656035.

It is an arithmetic number, because the mean of its divisors is an integer number (7132320).

Almost surely, 2^1395576000 is an apocalyptic number.

1395576000 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 1395576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195279360).

1395576000 is an abundant number, since it is smaller than the sum of its proper divisors (4994982720).

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

1395576000 is a wasteful number, since it uses less digits than its factorization.

1395576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 1395576000 is about 37357.4089037235. The cubic root of 1395576000 is about 1117.5093463477.

The spelling of 1395576000 in words is "one billion, three hundred ninety-five million, five hundred seventy-six thousand".