238078008 has 128 divisors (see below), whose sum is σ = 763776000. Its totient is φ = 67305600.

The previous prime is 238078003. The next prime is 238078019. The reversal of 238078008 is 800870832.

It is a super-2 number, since 2×238078008² = 113362275786496128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238078003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 151933 + ... + 153491.

It is an arithmetic number, because the mean of its divisors is an integer number (5967000).

Almost surely, 2^238078008 is an apocalyptic number.

238078008 is a gapful number since it is divisible by the number (28) 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 238078008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381888000).

238078008 is an abundant number, since it is smaller than the sum of its proper divisors (525697992).

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

238078008 is a wasteful number, since it uses less digits than its factorization.

238078008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 238078008 is about 15429.7766672107. The cubic root of 238078008 is about 619.7831430282.

The spelling of 238078008 in words is "two hundred thirty-eight million, seventy-eight thousand, eight".