238145760 has 72 divisors (see below), whose sum is σ = 812677320. Its totient is φ = 63505152.

The previous prime is 238145723. The next prime is 238145777. The reversal of 238145760 is 67541832.

238145760 is a `hidden beast` number, since 2 + 3 + 81 + 4 + 576 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81250 + ... + 84129.

It is an arithmetic number, because the mean of its divisors is an integer number (11287185).

Almost surely, 2^238145760 is an apocalyptic number.

238145760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238145760 is an abundant number, since it is smaller than the sum of its proper divisors (574531560).

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

238145760 is a wasteful number, since it uses less digits than its factorization.

238145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165400 (or 165389 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 238145760 is about 15431.9720061954. The cubic root of 238145760 is about 619.8419298731.

The spelling of 238145760 in words is "two hundred thirty-eight million, one hundred forty-five thousand, seven hundred sixty".