382602000 has 480 divisors, whose sum is σ = 1481905152. Its totient is φ = 84480000.

The previous prime is 382601971. The next prime is 382602007. The reversal of 382602000 is 206283.

382602000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (382602007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12341985 + ... + 12342015.

Almost surely, 2^382602000 is an apocalyptic number.

382602000 is a gapful number since it is divisible by the number (30) 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 382602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740952576).

382602000 is an abundant number, since it is smaller than the sum of its proper divisors (1099303152).

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

382602000 is a wasteful number, since it uses less digits than its factorization.

382602000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 382602000 is about 19560.2147227478. The cubic root of 382602000 is about 725.9651039242.

Adding to 382602000 its reverse (206283), we get a palindrome (382808283).

The spelling of 382602000 in words is "three hundred eighty-two million, six hundred two thousand".