238462560 has 288 divisors, whose sum is σ = 954338112. Its totient is φ = 53084160.

The previous prime is 238462541. The next prime is 238462561. The reversal of 238462560 is 65264832.

238462560 is a `hidden beast` number, since 2 + 38 + 4 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (238462561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412992 + ... + 413568.

It is an arithmetic number, because the mean of its divisors is an integer number (3313674).

Almost surely, 2^238462560 is an apocalyptic number.

238462560 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 238462560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477169056).

238462560 is an abundant number, since it is smaller than the sum of its proper divisors (715875552).

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

238462560 is a wasteful number, since it uses less digits than its factorization.

238462560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 238462560 is about 15442.2329991488. The cubic root of 238462560 is about 620.1166620567.

The spelling of 238462560 in words is "two hundred thirty-eight million, four hundred sixty-two thousand, five hundred sixty".