238965804 has 216 divisors, whose sum is σ = 805188384. Its totient is φ = 58291200.

The previous prime is 238965799. The next prime is 238965809. The reversal of 238965804 is 408569832.

238965804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238965799) and next prime (238965809).

It is a self number, because there is not a number n which added to its sum of digits gives 238965804.

It is not an unprimeable number, because it can be changed into a prime (238965809) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 518134 + ... + 518594.

It is an arithmetic number, because the mean of its divisors is an integer number (3727724).

Almost surely, 2^238965804 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 238965804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402594192).

238965804 is an abundant number, since it is smaller than the sum of its proper divisors (566222580).

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

238965804 is a wasteful number, since it uses less digits than its factorization.

With its successor (238965805) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (517).

238965804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 238965804 is about 15458.5188164973. The cubic root of 238965804 is about 620.5525805490.

The spelling of 238965804 in words is "two hundred thirty-eight million, nine hundred sixty-five thousand, eight hundred four".