238464384 has 64 divisors (see below), whose sum is σ = 645427440. Its totient is φ = 77981696.

The previous prime is 238464379. The next prime is 238464407. The reversal of 238464384 is 483464832.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×238464384³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14494 + ... + 26210.

Almost surely, 2^238464384 is an apocalyptic number.

238464384 is a gapful number since it is divisible by the number (24) 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 238464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322713720).

238464384 is an abundant number, since it is smaller than the sum of its proper divisors (406963056).

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

238464384 is a wasteful number, since it uses less digits than its factorization.

238464384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11787 (or 11775 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 238464384 is about 15442.2920578520. The cubic root of 238464384 is about 620.1182431433.

The spelling of 238464384 in words is "two hundred thirty-eight million, four hundred sixty-four thousand, three hundred eighty-four".