238141440 has 360 divisors, whose sum is σ = 920097360. Its totient is φ = 56623104.

The previous prime is 238141427. The next prime is 238141481. The reversal of 238141440 is 44141832.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×238141440² = 113422690890547200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12533751 + ... + 12533769.

It is an arithmetic number, because the mean of its divisors is an integer number (2555826).

Almost surely, 2^238141440 is an apocalyptic number.

238141440 is a gapful number since it is divisible by the number (20) 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 238141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460048680).

238141440 is an abundant number, since it is smaller than the sum of its proper divisors (681955920).

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

238141440 is a wasteful number, since it uses less digits than its factorization.

238141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 238141440 is about 15431.8320364110. The cubic root of 238141440 is about 619.8381818418.

The spelling of 238141440 in words is "two hundred thirty-eight million, one hundred forty-one thousand, four hundred forty".