478421222401 has 8 divisors (see below), whose sum is σ = 488573807400. Its totient is φ = 468310332672.

The previous prime is 478421222329. The next prime is 478421222519. The reversal of 478421222401 is 104222124874.

It is a Cunningham number, because it is equal to 691680²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 53649677376 + 424771545025 = 231624^2 + 651745^2 .

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 478421222401 - 2¹¹ = 478421220353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (478421522401) 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 7 ways as a sum of consecutive naturals, for example, 10400626 + ... + 10446523.

It is an arithmetic number, because the mean of its divisors is an integer number (61071725925).

Almost surely, 2^478421222401 is an apocalyptic number.

It is an amenable number.

478421222401 is a deficient number, since it is larger than the sum of its proper divisors (10152584999).

478421222401 is a wasteful number, since it uses less digits than its factorization.

478421222401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20847635.

The product of its (nonzero) digits is 57344, while the sum is 37.

The spelling of 478421222401 in words is "four hundred seventy-eight billion, four hundred twenty-one million, two hundred twenty-two thousand, four hundred one".