238148240 has 80 divisors (see below), whose sum is σ = 639601920. Its totient is φ = 81500160.

The previous prime is 238148227. The next prime is 238148263. The reversal of 238148240 is 42841832.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 238148197 and 238148206.

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 15 ways as a sum of consecutive naturals, for example, 7001 + ... + 22919.

It is an arithmetic number, because the mean of its divisors is an integer number (7995024).

Almost surely, 2^238148240 is an apocalyptic number.

238148240 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 238148240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319800960).

238148240 is an abundant number, since it is smaller than the sum of its proper divisors (401453680).

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

238148240 is a wasteful number, since it uses less digits than its factorization.

238148240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15960 (or 15954 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 238148240 is about 15432.0523586463. The cubic root of 238148240 is about 619.8440815003.

The spelling of 238148240 in words is "two hundred thirty-eight million, one hundred forty-eight thousand, two hundred forty".