476918401 has 6 divisors (see below), whose sum is σ = 480719490. Its totient is φ = 473147136.

The previous prime is 476918389. The next prime is 476918423. The reversal of 476918401 is 104819674.

It can be written as a sum of positive squares in only one way, i.e., 412902400 + 64016001 = 20320^2 + 8001^2 .

It is not a de Polignac number, because 476918401 - 2¹¹ = 476916353 is a prime.

It is a super-3 number, since 3×476918401³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (476918201) 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 5 ways as a sum of consecutive naturals, for example, 1345 + ... + 30913.

It is an arithmetic number, because the mean of its divisors is an integer number (80119915).

Almost surely, 2^476918401 is an apocalyptic number.

It is an amenable number.

476918401 is a deficient number, since it is larger than the sum of its proper divisors (3801089).

476918401 is an equidigital number, since it uses as much as digits as its factorization.

476918401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29823 (or 29696 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 476918401 is about 21838.4615071667. The cubic root of 476918401 is about 781.2943668798.

The spelling of 476918401 in words is "four hundred seventy-six million, nine hundred eighteen thousand, four hundred one".