228597600 has 288 divisors, whose sum is σ = 928440576. Its totient is φ = 47462400.

The previous prime is 228597599. The next prime is 228597617. The reversal of 228597600 is 6795822.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184182 + ... + 185418.

It is an arithmetic number, because the mean of its divisors is an integer number (3223752).

Almost surely, 2^228597600 is an apocalyptic number.

228597600 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 228597600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464220288).

228597600 is an abundant number, since it is smaller than the sum of its proper divisors (699842976).

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

228597600 is a wasteful number, since it uses less digits than its factorization.

228597600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 228597600 is about 15119.4444342377. Note that the first 4 decimals coincide. The cubic root of 228597600 is about 611.4447524926. Note that the first 3 decimals are identical.

The spelling of 228597600 in words is "two hundred twenty-eight million, five hundred ninety-seven thousand, six hundred".