238062400 has 168 divisors, whose sum is σ = 634959360. Its totient is φ = 87552000.

The previous prime is 238062371. The next prime is 238062427. The reversal of 238062400 is 4260832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 1246305 + ... + 1246495.

It is an arithmetic number, because the mean of its divisors is an integer number (3779520).

Almost surely, 2^238062400 is an apocalyptic number.

238062400 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 238062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317479680).

238062400 is an abundant number, since it is smaller than the sum of its proper divisors (396896960).

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

238062400 is a wasteful number, since it uses less digits than its factorization.

238062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 238062400 is about 15429.2708836160. The cubic root of 238062400 is about 619.7695987466.

The spelling of 238062400 in words is "two hundred thirty-eight million, sixty-two thousand, four hundred".