228493440 has 256 divisors, whose sum is σ = 925344000. Its totient is φ = 52199424.

The previous prime is 228493429. The next prime is 228493453. The reversal of 228493440 is 44394822.

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

It is a junction number, because it is equal to n+sod(n) for n = 228493395 and 228493404.

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 31 ways as a sum of consecutive naturals, for example, 120016 + ... + 121904.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^228493440 is an apocalyptic number.

228493440 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 228493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672000).

228493440 is an abundant number, since it is smaller than the sum of its proper divisors (696850560).

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

228493440 is a wasteful number, since it uses less digits than its factorization.

228493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 228493440 is about 15115.9994707595. Note that the first 3 decimals coincide. The cubic root of 228493440 is about 611.3518705595.

The spelling of 228493440 in words is "two hundred twenty-eight million, four hundred ninety-three thousand, four hundred forty".