238382400 has 84 divisors (see below), whose sum is σ = 782108672. Its totient is φ = 63567360.

The previous prime is 238382371. The next prime is 238382401. The reversal of 238382400 is 4283832.

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 (238382401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20032 + ... + 29631.

Almost surely, 2^238382400 is an apocalyptic number.

238382400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238382400 is an abundant number, since it is smaller than the sum of its proper divisors (543726272).

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

238382400 is a wasteful number, since it uses less digits than its factorization.

238382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49688 (or 49673 counting only the distinct ones).

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

The square root of 238382400 is about 15439.6373014394. The cubic root of 238382400 is about 620.0471694949.

The spelling of 238382400 in words is "two hundred thirty-eight million, three hundred eighty-two thousand, four hundred".