238311840 has 192 divisors, whose sum is σ = 816746112. Its totient is φ = 58060800.

The previous prime is 238311781. The next prime is 238311859. The reversal of 238311840 is 48113832.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 238311798 and 238311807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1129335 + ... + 1129545.

It is an arithmetic number, because the mean of its divisors is an integer number (4253886).

Almost surely, 2^238311840 is an apocalyptic number.

238311840 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 238311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408373056).

238311840 is an abundant number, since it is smaller than the sum of its proper divisors (578434272).

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

238311840 is a wasteful number, since it uses less digits than its factorization.

238311840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 238311840 is about 15437.3521045547. The cubic root of 238311840 is about 619.9859865025.

The spelling of 238311840 in words is "two hundred thirty-eight million, three hundred eleven thousand, eight hundred forty".