228486400 has 108 divisors (see below), whose sum is σ = 595621600. Its totient is φ = 86538240.

The previous prime is 228486397. The next prime is 228486431. The reversal of 228486400 is 4684822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120661 + ... + 122539.

Almost surely, 2^228486400 is an apocalyptic number.

228486400 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 228486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297810800).

228486400 is an abundant number, since it is smaller than the sum of its proper divisors (367135200).

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

228486400 is a wasteful number, since it uses less digits than its factorization.

228486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 228486400 is about 15115.7666031201. The cubic root of 228486400 is about 611.3455918068.

The spelling of 228486400 in words is "two hundred twenty-eight million, four hundred eighty-six thousand, four hundred".