383629000 has 128 divisors (see below), whose sum is σ = 963331200. Its totient is φ = 142560000.

The previous prime is 383628991. The next prime is 383629003. The reversal of 383629000 is 926383.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (383629003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1158835 + ... + 1159165.

It is an arithmetic number, because the mean of its divisors is an integer number (7526025).

Almost surely, 2^383629000 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 383629000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481665600).

383629000 is an abundant number, since it is smaller than the sum of its proper divisors (579702200).

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

383629000 is a wasteful number, since it uses less digits than its factorization.

383629000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 383629000 is about 19586.4493974789. The cubic root of 383629000 is about 726.6140812418.

The spelling of 383629000 in words is "three hundred eighty-three million, six hundred twenty-nine thousand".