238782880 has 192 divisors, whose sum is σ = 695520000. Its totient is φ = 77220864.

The previous prime is 238782871. The next prime is 238782919. The reversal of 238782880 is 88287832.

It is a self number, because there is not a number n which added to its sum of digits gives 238782880.

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 31 ways as a sum of consecutive naturals, for example, 1042606 + ... + 1042834.

It is an arithmetic number, because the mean of its divisors is an integer number (3622500).

Almost surely, 2^238782880 is an apocalyptic number.

238782880 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 238782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347760000).

238782880 is an abundant number, since it is smaller than the sum of its proper divisors (456737120).

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

238782880 is a wasteful number, since it uses less digits than its factorization.

238782880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The square root of 238782880 is about 15452.6010755471. The cubic root of 238782880 is about 620.3941995380.

The spelling of 238782880 in words is "two hundred thirty-eight million, seven hundred eighty-two thousand, eight hundred eighty".