238826880 has 320 divisors, whose sum is σ = 906396480. Its totient is φ = 59719680.

The previous prime is 238826869. The next prime is 238826899. The reversal of 238826880 is 88628832.

238826880 is a `hidden beast` number, since 2 + 388 + 268 + 8 + 0 = 666.

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

It is a super-2 number, since 2×238826880² = 114076557221068800, 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 39 ways as a sum of consecutive naturals, for example, 881145 + ... + 881415.

It is an arithmetic number, because the mean of its divisors is an integer number (2832489).

Almost surely, 2^238826880 is an apocalyptic number.

238826880 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 238826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453198240).

238826880 is an abundant number, since it is smaller than the sum of its proper divisors (667569600).

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

238826880 is a wasteful number, since it uses less digits than its factorization.

238826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 238826880 is about 15454.0247184997. The cubic root of 238826880 is about 620.4323034259.

The spelling of 238826880 in words is "two hundred thirty-eight million, eight hundred twenty-six thousand, eight hundred eighty".