238146048 has 320 divisors, whose sum is σ = 848517120. Its totient is φ = 64475136.

The previous prime is 238146043. The next prime is 238146049. The reversal of 238146048 is 840641832.

238146048 is a `hidden beast` number, since 2 + 38 + 14 + 604 + 8 = 666.

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 (238146043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2225611 + ... + 2225717.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 2^238146048 is an apocalyptic number.

238146048 is a gapful number since it is divisible by the number (28) 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 238146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424258560).

238146048 is an abundant number, since it is smaller than the sum of its proper divisors (610371072).

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

238146048 is a wasteful number, since it uses less digits than its factorization.

238146048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 238146048 is about 15431.9813374693. The cubic root of 238146048 is about 619.8421797403.

The spelling of 238146048 in words is "two hundred thirty-eight million, one hundred forty-six thousand, forty-eight".