228457600 has 288 divisors, whose sum is σ = 692098560. Its totient is φ = 74188800.

The previous prime is 228457591. The next prime is 228457609. The reversal of 228457600 is 6754822.

It is an interprime number because it is at equal distance from previous prime (228457591) and next prime (228457609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228457609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4860777 + ... + 4860823.

It is an arithmetic number, because the mean of its divisors is an integer number (2403120).

Almost surely, 2^228457600 is an apocalyptic number.

228457600 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 228457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346049280).

228457600 is an abundant number, since it is smaller than the sum of its proper divisors (463640960).

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

228457600 is a wasteful number, since it uses less digits than its factorization.

228457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 228457600 is about 15114.8139254177. The cubic root of 228457600 is about 611.3199046575.

The spelling of 228457600 in words is "two hundred twenty-eight million, four hundred fifty-seven thousand, six hundred".