238374000 has 480 divisors, whose sum is σ = 950564160. Its totient is φ = 55296000.

The previous prime is 238373999. The next prime is 238374023. The reversal of 238374000 is 473832.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5813980 + ... + 5814020.

It is an arithmetic number, because the mean of its divisors is an integer number (1980342).

Almost surely, 2^238374000 is an apocalyptic number.

238374000 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 238374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475282080).

238374000 is an abundant number, since it is smaller than the sum of its proper divisors (712190160).

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

238374000 is a wasteful number, since it uses less digits than its factorization.

238374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 238374000 is about 15439.3652719275. The cubic root of 238374000 is about 620.0398864384.

The spelling of 238374000 in words is "two hundred thirty-eight million, three hundred seventy-four thousand".