228484800 has 420 divisors, whose sum is σ = 880344696. Its totient is φ = 58060800.

The previous prime is 228484799. The next prime is 228484801. The reversal of 228484800 is 8484822.

228484800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228484799) and next prime (228484801).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (228484801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5313579 + ... + 5313621.

Almost surely, 2^228484800 is an apocalyptic number.

228484800 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 228484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440172348).

228484800 is an abundant number, since it is smaller than the sum of its proper divisors (651859896).

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

228484800 is a wasteful number, since it uses less digits than its factorization.

228484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 228484800 is about 15115.7136781563. The cubic root of 228484800 is about 611.3441647996.

The spelling of 228484800 in words is "two hundred twenty-eight million, four hundred eighty-four thousand, eight hundred".