473796960 has 192 divisors, whose sum is σ = 1837043712. Its totient is φ = 99956736.

The previous prime is 473796931. The next prime is 473796979. The reversal of 473796960 is 69697374.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38257 + ... + 49103.

It is an arithmetic number, because the mean of its divisors is an integer number (9567936).

Almost surely, 2^473796960 is an apocalyptic number.

473796960 is a gapful number since it is divisible by the number (40) 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 473796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918521856).

473796960 is an abundant number, since it is smaller than the sum of its proper divisors (1363246752).

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

473796960 is a wasteful number, since it uses less digits than its factorization.

473796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10885 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 51.

The square root of 473796960 is about 21766.8775895855. The cubic root of 473796960 is about 779.5861051984.

The spelling of 473796960 in words is "four hundred seventy-three million, seven hundred ninety-six thousand, nine hundred sixty".