1395335952 has 60 divisors (see below), whose sum is σ = 3912880140. Its totient is φ = 464173824.

The previous prime is 1395335951. The next prime is 1395335959. The reversal of 1395335952 is 2595335931.

1395335952 is a `hidden beast` number, since 1 + 3 + 9 + 53 + 3 + 595 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 442008576 + 953327376 = 21024^2 + 30876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1395335898 and 1395335907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395335951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63778 + ... + 82814.

It is an arithmetic number, because the mean of its divisors is an integer number (65214669).

Almost surely, 2^1395335952 is an apocalyptic number.

1395335952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1395335952 is an abundant number, since it is smaller than the sum of its proper divisors (2517544188).

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

1395335952 is a wasteful number, since it uses less digits than its factorization.

1395335952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19560 (or 19551 counting only the distinct ones).

The product of its digits is 546750, while the sum is 45.

The square root of 1395335952 is about 37354.1959088936. The cubic root of 1395335952 is about 1117.4452697548.

The spelling of 1395335952 in words is "one billion, three hundred ninety-five million, three hundred thirty-five thousand, nine hundred fifty-two".