238464576 has 336 divisors, whose sum is σ = 855878400. Its totient is φ = 63221760.

The previous prime is 238464557. The next prime is 238464619. The reversal of 238464576 is 675464832.

238464576 is a `hidden beast` number, since 2 + 38 + 46 + 4 + 576 = 666.

238464576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

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, 3358621 + ... + 3358691.

Almost surely, 2^238464576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238464576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427939200).

238464576 is an abundant number, since it is smaller than the sum of its proper divisors (617413824).

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

238464576 is a wasteful number, since it uses less digits than its factorization.

238464576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 238464576 is about 15442.2982745445. The cubic root of 238464576 is about 620.1184095730.

The spelling of 238464576 in words is "two hundred thirty-eight million, four hundred sixty-four thousand, five hundred seventy-six".