473808960 has 448 divisors, whose sum is σ = 1814169600. Its totient is φ = 116121600.

The previous prime is 473808953. The next prime is 473809009. The reversal of 473808960 is 69808374.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7767330 + ... + 7767390.

Almost surely, 2^473808960 is an apocalyptic number.

473808960 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 473808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907084800).

473808960 is an abundant number, since it is smaller than the sum of its proper divisors (1340360640).

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

473808960 is a wasteful number, since it uses less digits than its factorization.

473808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

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

The square root of 473808960 is about 21767.1532360114. The cubic root of 473808960 is about 779.5926867478.

The spelling of 473808960 in words is "four hundred seventy-three million, eight hundred eight thousand, nine hundred sixty".