238355040 has 192 divisors, whose sum is σ = 936230400. Its totient is φ = 49520640.

The previous prime is 238355027. The next prime is 238355041. The reversal of 238355040 is 40553832.

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 = 238354989 and 238355007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238355041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33736 + ... + 40184.

It is an arithmetic number, because the mean of its divisors is an integer number (4876200).

Almost surely, 2^238355040 is an apocalyptic number.

238355040 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 238355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468115200).

238355040 is an abundant number, since it is smaller than the sum of its proper divisors (697875360).

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

238355040 is a wasteful number, since it uses less digits than its factorization.

238355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6485 (or 6477 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 238355040 is about 15438.7512448384. The cubic root of 238355040 is about 620.0234469107.

The spelling of 238355040 in words is "two hundred thirty-eight million, three hundred fifty-five thousand, forty".