226860480 has 672 divisors, whose sum is σ = 1037783040. Its totient is φ = 45619200.

The previous prime is 226860467. The next prime is 226860509. The reversal of 226860480 is 84068622.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 7318065 + ... + 7318095.

It is an arithmetic number, because the mean of its divisors is an integer number (1544320).

Almost surely, 2^226860480 is an apocalyptic number.

226860480 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 226860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518891520).

226860480 is an abundant number, since it is smaller than the sum of its proper divisors (810922560).

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

226860480 is a wasteful number, since it uses less digits than its factorization.

226860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 226860480 is about 15061.8883278293. Note that the first 3 decimals coincide. The cubic root of 226860480 is about 609.8920170769.

The spelling of 226860480 in words is "two hundred twenty-six million, eight hundred sixty thousand, four hundred eighty".