238425200 has 90 divisors (see below), whose sum is σ = 620444664. Its totient is φ = 88008960.

The previous prime is 238425197. The next prime is 238425203. The reversal of 238425200 is 2524832.

It is an interprime number because it is at equal distance from previous prime (238425197) and next prime (238425203).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 238425200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238425203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65837 + ... + 69363.

Almost surely, 2^238425200 is an apocalyptic number.

238425200 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 238425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310222332).

238425200 is an abundant number, since it is smaller than the sum of its proper divisors (382019464).

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

238425200 is a wasteful number, since it uses less digits than its factorization.

238425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 238425200 is about 15441.0232821533. The cubic root of 238425200 is about 620.0842757448.

The spelling of 238425200 in words is "two hundred thirty-eight million, four hundred twenty-five thousand, two hundred".