238022400 has 648 divisors, whose sum is σ = 1040183424. Its totient is φ = 47308800.

The previous prime is 238022387. The next prime is 238022419. The reversal of 238022400 is 4220832.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10348789 + ... + 10348811.

Almost surely, 2^238022400 is an apocalyptic number.

238022400 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 238022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520091712).

238022400 is an abundant number, since it is smaller than the sum of its proper divisors (802161024).

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

238022400 is a wasteful number, since it uses less digits than its factorization.

238022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 238022400 is about 15427.9745916306. The cubic root of 238022400 is about 619.7348849173.

The spelling of 238022400 in words is "two hundred thirty-eight million, twenty-two thousand, four hundred".