1382815200 has 576 divisors, whose sum is σ = 5291661312. Its totient is φ = 310886400.

The previous prime is 1382815183. The next prime is 1382815201. The reversal of 1382815200 is 25182831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382815201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 29421577 + ... + 29421623.

It is an arithmetic number, because the mean of its divisors is an integer number (9186912).

Almost surely, 2^1382815200 is an apocalyptic number.

1382815200 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 1382815200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645830656).

1382815200 is an abundant number, since it is smaller than the sum of its proper divisors (3908846112).

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

1382815200 is a wasteful number, since it uses less digits than its factorization.

1382815200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1382815200 is about 37186.2232553939. The cubic root of 1382815200 is about 1114.0928359683.

The spelling of 1382815200 in words is "one billion, three hundred eighty-two million, eight hundred fifteen thousand, two hundred".