1395407952 has 80 divisors (see below), whose sum is σ = 4053698880. Its totient is φ = 459520128.

The previous prime is 1395407911. The next prime is 1395407983. The reversal of 1395407952 is 2597045931.

It is a happy number.

1395407952 is a `hidden beast` number, since 1 + 39 + 540 + 79 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1395407898 and 1395407907.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16398 + ... + 55314.

It is an arithmetic number, because the mean of its divisors is an integer number (50671236).

Almost surely, 2^1395407952 is an apocalyptic number.

1395407952 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 1395407952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026849440).

1395407952 is an abundant number, since it is smaller than the sum of its proper divisors (2658290928).

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

1395407952 is a wasteful number, since it uses less digits than its factorization.

1395407952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39017 (or 39005 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 1395407952 is about 37355.1596436155. The cubic root of 1395407952 is about 1117.4644896603.

The spelling of 1395407952 in words is "one billion, three hundred ninety-five million, four hundred seven thousand, nine hundred fifty-two".