1395191952 has 600 divisors, whose sum is σ = 5363990016. Its totient is φ = 342144000.

The previous prime is 1395191929. The next prime is 1395191957. The reversal of 1395191952 is 2591915931.

It is a junction number, because it is equal to n+sod(n) for n = 1395191898 and 1395191907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395191957) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34029052 + ... + 34029092.

Almost surely, 2^1395191952 is an apocalyptic number.

1395191952 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 1395191952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681995008).

1395191952 is an abundant number, since it is smaller than the sum of its proper divisors (3968798064).

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

1395191952 is a wasteful number, since it uses less digits than its factorization.

1395191952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its digits is 109350, while the sum is 45.

The square root of 1395191952 is about 37352.2683648530. The cubic root of 1395191952 is about 1117.4068279601.

The spelling of 1395191952 in words is "one billion, three hundred ninety-five million, one hundred ninety-one thousand, nine hundred fifty-two".