238426144 has 72 divisors (see below), whose sum is σ = 520838640. Its totient is φ = 107352960.

The previous prime is 238426127. The next prime is 238426219. The reversal of 238426144 is 441624832.

It is a super-2 number, since 2×238426144² = 113694052285417472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537987 + ... + 538429.

It is an arithmetic number, because the mean of its divisors is an integer number (7233870).

Almost surely, 2^238426144 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 238426144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260419320).

238426144 is an abundant number, since it is smaller than the sum of its proper divisors (282412496).

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

238426144 is a wasteful number, since it uses less digits than its factorization.

238426144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 595 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 238426144 is about 15441.0538500453. The cubic root of 238426144 is about 620.0850941130.

The spelling of 238426144 in words is "two hundred thirty-eight million, four hundred twenty-six thousand, one hundred forty-four".