238272000 has 320 divisors, whose sum is σ = 850284864. Its totient is φ = 58982400.

The previous prime is 238271923. The next prime is 238272007. The reversal of 238272000 is 272832.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238272007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3263964 + ... + 3264036.

Almost surely, 2^238272000 is an apocalyptic number.

238272000 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 238272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425142432).

238272000 is an abundant number, since it is smaller than the sum of its proper divisors (612012864).

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

238272000 is an equidigital number, since it uses as much as digits as its factorization.

238272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 238272000 is about 15436.0616738856. The cubic root of 238272000 is about 619.9514356688.

The spelling of 238272000 in words is "two hundred thirty-eight million, two hundred seventy-two thousand".