383846500 has 48 divisors (see below), whose sum is σ = 840818160. Its totient is φ = 153081600.

The previous prime is 383846497. The next prime is 383846503. The reversal of 383846500 is 5648383.

It is an interprime number because it is at equal distance from previous prime (383846497) and next prime (383846503).

It can be written as a sum of positive squares in 8 ways, for example, as 33108516 + 350737984 = 5754^2 + 18728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 383846500.

It is not an unprimeable number, because it can be changed into a prime (383846503) 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 15 ways as a sum of consecutive naturals, for example, 203562 + ... + 205438.

It is an arithmetic number, because the mean of its divisors is an integer number (17517045).

Almost surely, 2^383846500 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 383846500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420409080).

383846500 is an abundant number, since it is smaller than the sum of its proper divisors (456971660).

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

383846500 is a wasteful number, since it uses less digits than its factorization.

383846500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 383846500 is about 19592.0009187423. Note that the first 3 decimals coincide. The cubic root of 383846500 is about 726.7513742212.

The spelling of 383846500 in words is "three hundred eighty-three million, eight hundred forty-six thousand, five hundred".