382420000 has 60 divisors (see below), whose sum is σ = 940859766. Its totient is φ = 152960000.

The previous prime is 382419977. The next prime is 382420001. The reversal of 382420000 is 24283.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 37797904 + 344622096 = 6148^2 + 18564^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 382420000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382420001) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 10440 + ... + 29560.

Almost surely, 2^382420000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470429883).

382420000 is an abundant number, since it is smaller than the sum of its proper divisors (558439766).

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

382420000 is an equidigital number, since it uses as much as digits as its factorization.

382420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19151 (or 19128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 382420000 is about 19555.5618686858. The cubic root of 382420000 is about 725.8499741856.

Adding to 382420000 its reverse (24283), we get a palindrome (382444283).

The spelling of 382420000 in words is "three hundred eighty-two million, four hundred twenty thousand".