382801650 has 288 divisors, whose sum is σ = 1253919744. Its totient is φ = 75504000.

The previous prime is 382801649. The next prime is 382801651. The reversal of 382801650 is 56108283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (382801649) and next prime (382801651).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (382801651) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2922085 + ... + 2922215.

It is an arithmetic number, because the mean of its divisors is an integer number (4353888).

Almost surely, 2^382801650 is an apocalyptic number.

382801650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 382801650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626959872).

382801650 is an abundant number, since it is smaller than the sum of its proper divisors (871118094).

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

382801650 is a wasteful number, since it uses less digits than its factorization.

382801650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

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

The square root of 382801650 is about 19565.3175287292. The cubic root of 382801650 is about 726.0913567313.

The spelling of 382801650 in words is "three hundred eighty-two million, eight hundred one thousand, six hundred fifty".