473711616 has 198 divisors, whose sum is σ = 1592668350. Its totient is φ = 135217152.

The previous prime is 473711593. The next prime is 473711621. The reversal of 473711616 is 616117374.

473711616 is a `hidden beast` number, since 4 + 7 + 37 + 1 + 1 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 462422016 + 11289600 = 21504^2 + 3360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451060 + ... + 452108.

Almost surely, 2^473711616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473711616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796334175).

473711616 is an abundant number, since it is smaller than the sum of its proper divisors (1118956734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

473711616 is a wasteful number, since it uses less digits than its factorization.

473711616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1061 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 473711616 is about 21764.9170915030. The cubic root of 473711616 is about 779.5392940131.

The spelling of 473711616 in words is "four hundred seventy-three million, seven hundred eleven thousand, six hundred sixteen".