226468480 has 64 divisors (see below), whose sum is σ = 618756480. Its totient is φ = 77644800.

The previous prime is 226468433. The next prime is 226468481. The reversal of 226468480 is 84864622.

226468480 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (226468481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20796 + ... + 29755.

It is an arithmetic number, because the mean of its divisors is an integer number (9668070).

Almost surely, 2^226468480 is an apocalyptic number.

226468480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226468480 is an abundant number, since it is smaller than the sum of its proper divisors (392288000).

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

226468480 is an equidigital number, since it uses as much as digits as its factorization.

226468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50577 (or 50565 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 226468480 is about 15048.8697249993. The cubic root of 226468480 is about 609.5405301093.

The spelling of 226468480 in words is "two hundred twenty-six million, four hundred sixty-eight thousand, four hundred eighty".