224001409 has 8 divisors (see below), whose sum is σ = 229750920. Its totient is φ = 218265600.

The previous prime is 224001391. The next prime is 224001433. The reversal of 224001409 is 904100422.

It can be written as a sum of positive squares in 4 ways, for example, as 199809 + 223801600 = 447^2 + 14960^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 224001409 - 2⁹ = 224000897 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 224001409.

It is not an unprimeable number, because it can be changed into a prime (224001109) 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, 35149 + ... + 41029.

It is an arithmetic number, because the mean of its divisors is an integer number (28718865).

Almost surely, 2^224001409 is an apocalyptic number.

It is an amenable number.

224001409 is a deficient number, since it is larger than the sum of its proper divisors (5749511).

224001409 is an equidigital number, since it uses as much as digits as its factorization.

224001409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 224001409 is about 14966.6766184080. The cubic root of 224001409 is about 607.3190677516.

The spelling of 224001409 in words is "two hundred twenty-four million, one thousand, four hundred nine".