228646400 has 60 divisors (see below), whose sum is σ = 566521032. Its totient is φ = 91453440.

The previous prime is 228646393. The next prime is 228646441. The reversal of 228646400 is 4646822.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3869 + ... + 21731.

Almost surely, 2^228646400 is an apocalyptic number.

228646400 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 228646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283260516).

228646400 is an abundant number, since it is smaller than the sum of its proper divisors (337874632).

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

228646400 is an equidigital number, since it uses as much as digits as its factorization.

228646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17891 (or 17870 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 228646400 is about 15121.0581640307. The cubic root of 228646400 is about 611.4882588999.

The spelling of 228646400 in words is "two hundred twenty-eight million, six hundred forty-six thousand, four hundred".