473405413 has 8 divisors (see below), whose sum is σ = 510042456. Its totient is φ = 436800000.

The previous prime is 473405377. The next prime is 473405423. The reversal of 473405413 is 314504374.

It can be written as a sum of positive squares in 4 ways, for example, as 8485569 + 464919844 = 2913^2 + 21562^2 .

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

It is not a de Polignac number, because 473405413 - 2²⁵ = 439850981 is a prime.

It is a super-3 number, since 3×473405413³ (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473405423) 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, 29913 + ... + 42913.

It is an arithmetic number, because the mean of its divisors is an integer number (63755307).

Almost surely, 2^473405413 is an apocalyptic number.

It is an amenable number.

473405413 is a deficient number, since it is larger than the sum of its proper divisors (36637043).

473405413 is a wasteful number, since it uses less digits than its factorization.

473405413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15815.

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 473405413 is about 21757.8816294234. The cubic root of 473405413 is about 779.3712953747.

Adding to 473405413 its reverse (314504374), we get a palindrome (787909787).

The spelling of 473405413 in words is "four hundred seventy-three million, four hundred five thousand, four hundred thirteen".