226499846400 has 405 divisors, whose sum is σ = 838742028663. Its totient is φ = 60308582400.

The previous prime is 226499846389. The next prime is 226499846423. The reversal of 226499846400 is 4648994622.

The square root of 226499846400 is 475920.

It is a perfect power (a square), and thus also a powerful number.

226499846400 is a `hidden beast` number, since 226 + 4 + 9 + 9 + 8 + 4 + 6 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6666395904 + 219833450496 = 81648^2 + 468864^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 342662070 + ... + 342662730.

Almost surely, 2^226499846400 is an apocalyptic number.

226499846400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

226499846400 is the 475920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226499846400

226499846400 is an abundant number, since it is smaller than the sum of its proper divisors (612242182263).

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

226499846400 is an frugal number, since it uses more digits than its factorization.

226499846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 226499846400 in words is "two hundred twenty-six billion, four hundred ninety-nine million, eight hundred forty-six thousand, four hundred".