227406400 has 189 divisors, whose sum is σ = 627530241. Its totient is φ = 81070080.

The previous prime is 227406379. The next prime is 227406401. The reversal of 227406400 is 4604722.

The square root of 227406400 is 15080.

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

It can be written as a sum of positive squares in 13 ways, for example, as 210366016 + 17040384 = 14504^2 + 4128^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (227406401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7841586 + ... + 7841614.

Almost surely, 2^227406400 is an apocalyptic number.

227406400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

227406400 is the 15080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227406400

227406400 is an abundant number, since it is smaller than the sum of its proper divisors (400123841).

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

227406400 is a wasteful number, since it uses less digits than its factorization.

227406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The cubic root of 227406400 is about 610.3808425331.

Multiplying 227406400 by its sum of digits (25), we get a square (5685160000 = 75400²).

227406400 divided by its sum of digits (25) gives a square (9096256 = 3016²).

The spelling of 227406400 in words is "two hundred twenty-seven million, four hundred six thousand, four hundred".