238784832 has 252 divisors, whose sum is σ = 812133504. Its totient is φ = 66493440.

The previous prime is 238784813. The next prime is 238784921. The reversal of 238784832 is 238487832.

Its product of digits (516096) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1070673 + ... + 1070895.

It is an arithmetic number, because the mean of its divisors is an integer number (3222752).

Almost surely, 2^238784832 is an apocalyptic number.

238784832 is a gapful number since it is divisible by the number (22) 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 238784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406066752).

238784832 is an abundant number, since it is smaller than the sum of its proper divisors (573348672).

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

238784832 is a wasteful number, since it uses less digits than its factorization.

238784832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 252 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 238784832 is about 15452.6642363057. The cubic root of 238784832 is about 620.3958900643.

The spelling of 238784832 in words is "two hundred thirty-eight million, seven hundred eighty-four thousand, eight hundred thirty-two".