238536480 has 384 divisors, whose sum is σ = 953745408. Its totient is φ = 48771072.

The previous prime is 238536449. The next prime is 238536481. The reversal of 238536480 is 84635832.

238536480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (238536481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1878177 + ... + 1878303.

It is an arithmetic number, because the mean of its divisors is an integer number (2483712).

Almost surely, 2^238536480 is an apocalyptic number.

238536480 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 238536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476872704).

238536480 is an abundant number, since it is smaller than the sum of its proper divisors (715208928).

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

238536480 is a wasteful number, since it uses less digits than its factorization.

238536480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 238536480 is about 15444.6262499291. The cubic root of 238536480 is about 620.1807312170.

The spelling of 238536480 in words is "two hundred thirty-eight million, five hundred thirty-six thousand, four hundred eighty".