473859072 has 220 divisors, whose sum is σ = 1471260780. Its totient is φ = 151732224.

The previous prime is 473859013. The next prime is 473859083. The reversal of 473859072 is 270958374.

It can be written as a sum of positive squares in 2 ways, for example, as 383533056 + 90326016 = 19584^2 + 9504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2405278 + ... + 2405474.

It is an arithmetic number, because the mean of its divisors is an integer number (6687549).

Almost surely, 2^473859072 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 473859072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735630390).

473859072 is an abundant number, since it is smaller than the sum of its proper divisors (997401708).

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

473859072 is a wasteful number, since it uses less digits than its factorization.

473859072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 473859072 is about 21768.3042977628. The cubic root of 473859072 is about 779.6201700971.

The spelling of 473859072 in words is "four hundred seventy-three million, eight hundred fifty-nine thousand, seventy-two".