226482480 has 200 divisors, whose sum is σ = 899159712. Its totient is φ = 51757056.

The previous prime is 226482467. The next prime is 226482481. The reversal of 226482480 is 84284622.

It is a happy number.

226482480 is a `hidden beast` number, since 2 + 2 + 648 + 2 + 4 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (226482481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42864 + ... + 47856.

Almost surely, 2^226482480 is an apocalyptic number.

226482480 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 226482480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449579856).

226482480 is an abundant number, since it is smaller than the sum of its proper divisors (672677232).

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

226482480 is a wasteful number, since it uses less digits than its factorization.

226482480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 226482480 is about 15049.3348690233. The cubic root of 226482480 is about 609.5530901965.

The spelling of 226482480 in words is "two hundred twenty-six million, four hundred eighty-two thousand, four hundred eighty".