238463904 has 96 divisors (see below), whose sum is σ = 738533376. Its totient is φ = 65928960.

The previous prime is 238463887. The next prime is 238463909. The reversal of 238463904 is 409364832.

238463904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (238463909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15109 + ... + 26555.

It is an arithmetic number, because the mean of its divisors is an integer number (7693056).

Almost surely, 2^238463904 is an apocalyptic number.

238463904 is a gapful number since it is divisible by the number (24) 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 238463904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369266688).

238463904 is an abundant number, since it is smaller than the sum of its proper divisors (500069472).

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

238463904 is a wasteful number, since it uses less digits than its factorization.

238463904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11498 (or 11490 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 238463904 is about 15442.2765161099. The cubic root of 238463904 is about 620.1178270687.

The spelling of 238463904 in words is "two hundred thirty-eight million, four hundred sixty-three thousand, nine hundred four".