473506560 has 180 divisors, whose sum is σ = 1694664048. Its totient is φ = 126240768.

The previous prime is 473506549. The next prime is 473506571. The reversal of 473506560 is 65605374.

473506560 is a `hidden beast` number, since 47 + 3 + 50 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (473506549) and next prime (473506571).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×473506560³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 101397 + ... + 105963.

Almost surely, 2^473506560 is an apocalyptic number.

473506560 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 473506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847332024).

473506560 is an abundant number, since it is smaller than the sum of its proper divisors (1221157488).

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

473506560 is an equidigital number, since it uses as much as digits as its factorization.

473506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 473506560 is about 21760.2058813790. The cubic root of 473506560 is about 779.4267978064.

The spelling of 473506560 in words is "four hundred seventy-three million, five hundred six thousand, five hundred sixty".