238934880 has 384 divisors, whose sum is σ = 914457600. Its totient is φ = 58060800.

The previous prime is 238934873. The next prime is 238934893. The reversal of 238934880 is 88439832.

It is a super-2 number, since 2×238934880² = 114179753761228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3365245 + ... + 3365315.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^238934880 is an apocalyptic number.

238934880 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 238934880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

238934880 is an abundant number, since it is smaller than the sum of its proper divisors (675522720).

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

238934880 is a wasteful number, since it uses less digits than its factorization.

238934880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 238934880 is about 15457.5185589408. The cubic root of 238934880 is about 620.5258113132.

The spelling of 238934880 in words is "two hundred thirty-eight million, nine hundred thirty-four thousand, eight hundred eighty".