238978080 has 384 divisors, whose sum is σ = 940584960. Its totient is φ = 56171520.

The previous prime is 238978063. The next prime is 238978093. The reversal of 238978080 is 80879832.

It is a super-2 number, since 2×238978080² = 114221045440972800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2233387 + ... + 2233493.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2^238978080 is an apocalyptic number.

238978080 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 238978080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470292480).

238978080 is an abundant number, since it is smaller than the sum of its proper divisors (701606880).

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

238978080 is a wasteful number, since it uses less digits than its factorization.

238978080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 238978080 is about 15458.9158740191. The cubic root of 238978080 is about 620.5632065785.

The spelling of 238978080 in words is "two hundred thirty-eight million, nine hundred seventy-eight thousand, eighty".