1382717952 has 400 divisors, whose sum is σ = 5157294912. Its totient is φ = 358318080.

The previous prime is 1382717911. The next prime is 1382717983. The reversal of 1382717952 is 2597172831.

It is a junction number, because it is equal to n+sod(n) for n = 1382717898 and 1382717907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3193128 + ... + 3193560.

Almost surely, 2^1382717952 is an apocalyptic number.

1382717952 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 1382717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578647456).

1382717952 is an abundant number, since it is smaller than the sum of its proper divisors (3774576960).

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

1382717952 is an equidigital number, since it uses as much as digits as its factorization.

1382717952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 456 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 1382717952 is about 37184.9156513767. The cubic root of 1382717952 is about 1114.0667187547.

The spelling of 1382717952 in words is "one billion, three hundred eighty-two million, seven hundred seventeen thousand, nine hundred fifty-two".