228579840 has 160 divisors (see below), whose sum is σ = 812180160. Its totient is φ = 60936192.

The previous prime is 228579817. The next prime is 228579851. The reversal of 228579840 is 48975822.

228579840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67467 + ... + 70773.

It is an arithmetic number, because the mean of its divisors is an integer number (5076126).

Almost surely, 2^228579840 is an apocalyptic number.

228579840 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 228579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406090080).

228579840 is an abundant number, since it is smaller than the sum of its proper divisors (583600320).

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

228579840 is an equidigital number, since it uses as much as digits as its factorization.

228579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 228579840 is about 15118.8570996620. The cubic root of 228579840 is about 611.4289174765.

The spelling of 228579840 in words is "two hundred twenty-eight million, five hundred seventy-nine thousand, eight hundred forty".