1382856000 has 224 divisors, whose sum is σ = 4607795712. Its totient is φ = 365414400.

The previous prime is 1382855993. The next prime is 1382856017. The reversal of 1382856000 is 6582831.

It is a happy number.

1382856000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 3767817 + ... + 3768183.

Almost surely, 2^1382856000 is an apocalyptic number.

1382856000 is a gapful number since it is divisible by the number (10) 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 1382856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303897856).

1382856000 is an abundant number, since it is smaller than the sum of its proper divisors (3224939712).

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

1382856000 is a wasteful number, since it uses less digits than its factorization.

1382856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1382856000 is about 37186.7718416106. The cubic root of 1382856000 is about 1114.1037929737.

The spelling of 1382856000 in words is "one billion, three hundred eighty-two million, eight hundred fifty-six thousand".