238560480 has 72 divisors (see below), whose sum is σ = 814092552. Its totient is φ = 63615744.

The previous prime is 238560437. The next prime is 238560481. The reversal of 238560480 is 84065832.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×238560480² = 113822205235660800, 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 (238560481) 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 11 ways as a sum of consecutive naturals, for example, 81394 + ... + 84273.

It is an arithmetic number, because the mean of its divisors is an integer number (11306841).

Almost surely, 2^238560480 is an apocalyptic number.

238560480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238560480 is an abundant number, since it is smaller than the sum of its proper divisors (575532072).

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

238560480 is a wasteful number, since it uses less digits than its factorization.

238560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165688 (or 165677 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 238560480 is about 15445.4031996578. The cubic root of 238560480 is about 620.2015300461.

The spelling of 238560480 in words is "two hundred thirty-eight million, five hundred sixty thousand, four hundred eighty".