1395418752 has 768 divisors, whose sum is σ = 5613753600. Its totient is φ = 334430208.

The previous prime is 1395418741. The next prime is 1395418789. The reversal of 1395418752 is 2578145931.

1395418752 is a `hidden beast` number, since 1 + 39 + 541 + 8 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1395418698 and 1395418707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48117874 + ... + 48117902.

It is an arithmetic number, because the mean of its divisors is an integer number (7309575).

It is a vampire number, since it can be written as 19584 ⋅ 71253 (with its own digits).

Almost surely, 2^1395418752 is an apocalyptic number.

1395418752 is a gapful number since it is divisible by the number (12) 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 1395418752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806876800).

1395418752 is an abundant number, since it is smaller than the sum of its proper divisors (4218334848).

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

1395418752 is a wasteful number, since it uses less digits than its factorization.

1395418752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 1395418752 is about 37355.3042016793. The cubic root of 1395418752 is about 1117.4673725891.

The spelling of 1395418752 in words is "one billion, three hundred ninety-five million, four hundred eighteen thousand, seven hundred fifty-two".