238214880 has 288 divisors, whose sum is σ = 887350464. Its totient is φ = 57950208.

The previous prime is 238214777. The next prime is 238214923. The reversal of 238214880 is 88412832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 905629 + ... + 905891.

It is an arithmetic number, because the mean of its divisors is an integer number (3081078).

Almost surely, 2^238214880 is an apocalyptic number.

238214880 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 238214880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443675232).

238214880 is an abundant number, since it is smaller than the sum of its proper divisors (649135584).

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

238214880 is a wasteful number, since it uses less digits than its factorization.

238214880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 238214880 is about 15434.2113501144. The cubic root of 238214880 is about 619.9018922114.

The spelling of 238214880 in words is "two hundred thirty-eight million, two hundred fourteen thousand, eight hundred eighty".