238329000 has 512 divisors, whose sum is σ = 1027353600. Its totient is φ = 49766400.

The previous prime is 238328999. The next prime is 238329011. The reversal of 238329000 is 923832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 238329000 = 10³ + 620³ = 132³ + 618³.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2456952 + ... + 2457048.

It is an arithmetic number, because the mean of its divisors is an integer number (2006550).

Almost surely, 2^238329000 is an apocalyptic number.

238329000 is a gapful number since it is divisible by the number (20) 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 238329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513676800).

238329000 is an abundant number, since it is smaller than the sum of its proper divisors (789024600).

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

238329000 is a wasteful number, since it uses less digits than its factorization.

238329000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 238329000 is about 15437.9078893482. The cubic root of 238329000 is about 620.0008671511. Note that the first 3 decimals are identical.

The spelling of 238329000 in words is "two hundred thirty-eight million, three hundred twenty-nine thousand".