238328400 has 120 divisors (see below), whose sum is σ = 803703520. Its totient is φ = 60203520.

The previous prime is 238328393. The next prime is 238328401. The reversal of 238328400 is 4823832.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238328401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17574 + ... + 28026.

Almost surely, 2^238328400 is an apocalyptic number.

238328400 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 238328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401851760).

238328400 is an abundant number, since it is smaller than the sum of its proper divisors (565375120).

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

238328400 is a wasteful number, since it uses less digits than its factorization.

238328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10493 (or 10482 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 238328400 is about 15437.8884566511. Note that the first 3 decimals coincide. The cubic root of 238328400 is about 620.0003468607. Note that the first 3 decimals are identical.

The spelling of 238328400 in words is "two hundred thirty-eight million, three hundred twenty-eight thousand, four hundred".