226448460 has 240 divisors, whose sum is σ = 855402240. Its totient is φ = 48988800.

The previous prime is 226448447. The next prime is 226448461. The reversal of 226448460 is 64844622.

It is a happy number.

226448460 is a `hidden beast` number, since 2 + 2 + 644 + 8 + 4 + 6 + 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 (226448461) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 214935 + ... + 215985.

It is an arithmetic number, because the mean of its divisors is an integer number (3564176).

Almost surely, 2^226448460 is an apocalyptic number.

226448460 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 226448460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427701120).

226448460 is an abundant number, since it is smaller than the sum of its proper divisors (628953780).

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

226448460 is a wasteful number, since it uses less digits than its factorization.

226448460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 226448460 is about 15048.2045440644. The cubic root of 226448460 is about 609.5225682852.

The spelling of 226448460 in words is "two hundred twenty-six million, four hundred forty-eight thousand, four hundred sixty".