473090688 has 432 divisors, whose sum is σ = 1740275550. Its totient is φ = 122830848.

The previous prime is 473090669. The next prime is 473090689. The reversal of 473090688 is 886090374.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 469675584 + 3415104 = 21672^2 + 1848^2 .

It is not an unprimeable number, because it can be changed into a prime (473090689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 16313458 + ... + 16313486.

Almost surely, 2^473090688 is an apocalyptic number.

473090688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870137775).

473090688 is an abundant number, since it is smaller than the sum of its proper divisors (1267184862).

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

473090688 is a wasteful number, since it uses less digits than its factorization.

473090688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 473090688 is about 21750.6479903473. The cubic root of 473090688 is about 779.1985456195.

The spelling of 473090688 in words is "four hundred seventy-three million, ninety thousand, six hundred eighty-eight".