238878720 has 238 divisors, whose sum is σ = 859563618. Its totient is φ = 63700992.

The previous prime is 238878709. The next prime is 238878721. The reversal of 238878720 is 27878832.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)⁴.

It can be written as a sum of positive squares in only one way, i.e., 191102976 + 47775744 = 13824^2 + 6912^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238878721) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 47775742 + ... + 47775746.

Almost surely, 2^238878720 is an apocalyptic number.

238878720 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 238878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429781809).

238878720 is an abundant number, since it is smaller than the sum of its proper divisors (620684898).

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

238878720 is an frugal number, since it uses more digits than its factorization.

238878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 238878720 is about 15455.7018604785. The cubic root of 238878720 is about 620.4771907292.

Multiplying 238878720 by its sum of digits (45), we get a square (10749542400 = 103680²).

238878720 divided by its sum of digits (45) gives a 4-th power (5308416 = 48⁴).

The spelling of 238878720 in words is "two hundred thirty-eight million, eight hundred seventy-eight thousand, seven hundred twenty".