238264000 has 224 divisors, whose sum is σ = 665683200. Its totient is φ = 83865600.

The previous prime is 238263983. The next prime is 238264049. The reversal of 238264000 is 462832.

It is a happy number.

238264000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 3015961 + ... + 3016039.

It is an arithmetic number, because the mean of its divisors is an integer number (2971800).

Almost surely, 2^238264000 is an apocalyptic number.

238264000 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 238264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332841600).

238264000 is an abundant number, since it is smaller than the sum of its proper divisors (427419200).

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

238264000 is a wasteful number, since it uses less digits than its factorization.

238264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 238264000 is about 15435.8025382550. The cubic root of 238264000 is about 619.9444972861.

The spelling of 238264000 in words is "two hundred thirty-eight million, two hundred sixty-four thousand".