1395909648 has 180 divisors, whose sum is σ = 4573709868. Its totient is φ = 396264960.

The previous prime is 1395909631. The next prime is 1395909649. The reversal of 1395909648 is 8469095931.

1395909648 is a `hidden beast` number, since 1 + 3 + 9 + 590 + 9 + 6 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 686859264 + 709050384 = 26208^2 + 26628^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1395909594 and 1395909603.

It is not an unprimeable number, because it can be changed into a prime (1395909649) 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 35 ways as a sum of consecutive naturals, for example, 1276590 + ... + 1277682.

Almost surely, 2^1395909648 is an apocalyptic number.

1395909648 is a gapful number since it is divisible by the number (18) 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 1395909648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286854934).

1395909648 is an abundant number, since it is smaller than the sum of its proper divisors (3177800220).

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

1395909648 is a wasteful number, since it uses less digits than its factorization.

1395909648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 1395909648 is about 37361.8742570551. The cubic root of 1395909648 is about 1117.5983956121.

The spelling of 1395909648 in words is "one billion, three hundred ninety-five million, nine hundred nine thousand, six hundred forty-eight".