238998144 has 256 divisors, whose sum is σ = 810777600. Its totient is φ = 60579840.

The previous prime is 238998101. The next prime is 238998163. The reversal of 238998144 is 441899832.

It is a super-2 number, since 2×238998144² = 114240225670889472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 238998093 and 238998102.

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 31 ways as a sum of consecutive naturals, for example, 1744444 + ... + 1744580.

It is an arithmetic number, because the mean of its divisors is an integer number (3167100).

Almost surely, 2^238998144 is an apocalyptic number.

238998144 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 238998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405388800).

238998144 is an abundant number, since it is smaller than the sum of its proper divisors (571779456).

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

238998144 is a wasteful number, since it uses less digits than its factorization.

238998144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 238998144 is about 15459.5648062939. The cubic root of 238998144 is about 620.5805730691.

The spelling of 238998144 in words is "two hundred thirty-eight million, nine hundred ninety-eight thousand, one hundred forty-four".