1382020200 has 288 divisors, whose sum is σ = 5102173440. Its totient is φ = 332467200.

The previous prime is 1382020193. The next prime is 1382020229. The reversal of 1382020200 is 20202831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4415244 + ... + 4415556.

It is an arithmetic number, because the mean of its divisors is an integer number (17715880).

Almost surely, 2^1382020200 is an apocalyptic number.

1382020200 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 1382020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551086720).

1382020200 is an abundant number, since it is smaller than the sum of its proper divisors (3720153240).

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

1382020200 is a wasteful number, since it uses less digits than its factorization.

1382020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1382020200 is about 37175.5322759473. The cubic root of 1382020200 is about 1113.8792924683.

The spelling of 1382020200 in words is "one billion, three hundred eighty-two million, twenty thousand, two hundred".