238920720 has 160 divisors (see below), whose sum is σ = 809948160. Its totient is φ = 57999360.

The previous prime is 238920719. The next prime is 238920743. The reversal of 238920720 is 27029832.

It is a super-2 number, since 2×238920720² = 114166220890636800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125536 + ... + 127424.

It is an arithmetic number, because the mean of its divisors is an integer number (5062176).

Almost surely, 2^238920720 is an apocalyptic number.

238920720 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 238920720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).

238920720 is an abundant number, since it is smaller than the sum of its proper divisors (571027440).

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

238920720 is a wasteful number, since it uses less digits than its factorization.

238920720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 238920720 is about 15457.0605226220. The cubic root of 238920720 is about 620.5135529954.

The spelling of 238920720 in words is "two hundred thirty-eight million, nine hundred twenty thousand, seven hundred twenty".