238862400 has 168 divisors, whose sum is σ = 895746240. Its totient is φ = 54589440.

The previous prime is 238862369. The next prime is 238862419. The reversal of 238862400 is 4268832.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×238862400² = 114110492267520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30046 + ... + 37154.

Almost surely, 2^238862400 is an apocalyptic number.

238862400 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 238862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447873120).

238862400 is an abundant number, since it is smaller than the sum of its proper divisors (656883840).

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

238862400 is a wasteful number, since it uses less digits than its factorization.

238862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7141 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 238862400 is about 15455.1738909661. The cubic root of 238862400 is about 620.4630602416.

The spelling of 238862400 in words is "two hundred thirty-eight million, eight hundred sixty-two thousand, four hundred".