228407040 has 180 divisors, whose sum is σ = 817653144. Its totient is φ = 60880896.

The previous prime is 228407033. The next prime is 228407041. The reversal of 228407040 is 40704822.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 228406995 and 228407013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228407041) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 102579 + ... + 104781.

Almost surely, 2^228407040 is an apocalyptic number.

228407040 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 228407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408826572).

228407040 is an abundant number, since it is smaller than the sum of its proper divisors (589246104).

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

228407040 is an equidigital number, since it uses as much as digits as its factorization.

228407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 228407040 is about 15113.1413015296. The cubic root of 228407040 is about 611.2748042176.

The spelling of 228407040 in words is "two hundred twenty-eight million, four hundred seven thousand, forty".