473580288 has 216 divisors, whose sum is σ = 1472195088. Its totient is φ = 145883136.

The previous prime is 473580277. The next prime is 473580293. The reversal of 473580288 is 882085374.

473580288 is a `hidden beast` number, since 47 + 3 + 580 + 28 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4190920 + ... + 4191032.

It is an arithmetic number, because the mean of its divisors is an integer number (6815718).

Almost surely, 2^473580288 is an apocalyptic number.

473580288 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 473580288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736097544).

473580288 is an abundant number, since it is smaller than the sum of its proper divisors (998614800).

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

473580288 is a wasteful number, since it uses less digits than its factorization.

473580288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 473580288 is about 21761.8999170569. The cubic root of 473580288 is about 779.4672496195.

The spelling of 473580288 in words is "four hundred seventy-three million, five hundred eighty thousand, two hundred eighty-eight".