238412500 has 36 divisors (see below), whose sum is σ = 521521308. Its totient is φ = 95360000.

The previous prime is 238412477. The next prime is 238412519. The reversal of 238412500 is 5214832.

It can be written as a sum of positive squares in 6 ways, for example, as 236298384 + 2114116 = 15372^2 + 1454^2 .

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 11 ways as a sum of consecutive naturals, for example, 2964 + ... + 22036.

It is an arithmetic number, because the mean of its divisors is an integer number (14486703).

Almost surely, 2^238412500 is an apocalyptic number.

238412500 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 238412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260760654).

238412500 is an abundant number, since it is smaller than the sum of its proper divisors (283108808).

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

238412500 is an equidigital number, since it uses as much as digits as its factorization.

238412500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19102 (or 19080 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 238412500 is about 15440.6120345017. The cubic root of 238412500 is about 620.0732657088.

It can be divided in two parts, 2384 and 12500, that added together give a square (14884 = 122²).

The spelling of 238412500 in words is "two hundred thirty-eight million, four hundred twelve thousand, five hundred".