224979462401 has 8 divisors (see below), whose sum is σ = 234815198184. Its totient is φ = 215350794880.

The previous prime is 224979462377. The next prime is 224979462469. The reversal of 224979462401 is 104264979422.

It is a Cunningham number, because it is equal to 474320²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 10840974400 + 214138488001 = 104120^2 + 462751^2 .

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 224979462401 - 2³⁴ = 207799593217 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 224979462401.

It is not an unprimeable number, because it can be changed into a prime (224979462101) 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, 51764846 + ... + 51769191.

It is an arithmetic number, because the mean of its divisors is an integer number (29351899773).

Almost surely, 2^224979462401 is an apocalyptic number.

It is an amenable number.

224979462401 is a deficient number, since it is larger than the sum of its proper divisors (9835735783).

224979462401 is a wasteful number, since it uses less digits than its factorization.

224979462401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103534131.

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 224979462401 in words is "two hundred twenty-four billion, nine hundred seventy-nine million, four hundred sixty-two thousand, four hundred one".