228718440 has 144 divisors (see below), whose sum is σ = 777706020. Its totient is φ = 58291200.

The previous prime is 228718429. The next prime is 228718481. The reversal of 228718440 is 44817822.

It can be written as a sum of positive squares in 2 ways, for example, as 186650244 + 42068196 = 13662^2 + 6486^2 .

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 = 228718395 and 228718404.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 189840 + ... + 191040.

Almost surely, 2^228718440 is an apocalyptic number.

228718440 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 228718440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388853010).

228718440 is an abundant number, since it is smaller than the sum of its proper divisors (548987580).

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

228718440 is a wasteful number, since it uses less digits than its factorization.

228718440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 228718440 is about 15123.4400848484. The cubic root of 228718440 is about 611.5524730293.

The spelling of 228718440 in words is "two hundred twenty-eight million, seven hundred eighteen thousand, four hundred forty".