226480800 has 576 divisors, whose sum is σ = 976437504. Its totient is φ = 44236800.

The previous prime is 226480799. The next prime is 226480847. The reversal of 226480800 is 8084622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3712770 + ... + 3712830.

It is an arithmetic number, because the mean of its divisors is an integer number (1695204).

Almost surely, 2^226480800 is an apocalyptic number.

226480800 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 226480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488218752).

226480800 is an abundant number, since it is smaller than the sum of its proper divisors (749956704).

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

226480800 is a wasteful number, since it uses less digits than its factorization.

226480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 226480800 is about 15049.2790524995. The cubic root of 226480800 is about 609.5515830134.

The spelling of 226480800 in words is "two hundred twenty-six million, four hundred eighty thousand, eight hundred".