238042800 has 360 divisors, whose sum is σ = 895498240. Its totient is φ = 60652800.

The previous prime is 238042799. The next prime is 238042813. The reversal of 238042800 is 8240832.

238042800 is a `hidden beast` number, since 2 + 380 + 4 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3013161 + ... + 3013239.

Almost surely, 2^238042800 is an apocalyptic number.

238042800 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 238042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447749120).

238042800 is an abundant number, since it is smaller than the sum of its proper divisors (657455440).

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

238042800 is a wasteful number, since it uses less digits than its factorization.

238042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 238042800 is about 15428.6357141518. The cubic root of 238042800 is about 619.7525894562.

The spelling of 238042800 in words is "two hundred thirty-eight million, forty-two thousand, eight hundred".