473316480 has 768 divisors, whose sum is σ = 2148854400. Its totient is φ = 97542144.

The previous prime is 473316479. The next prime is 473316497. The reversal of 473316480 is 84613374.

473316480 is a `hidden beast` number, since 4 + 7 + 3 + 3 + 1 + 648 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 11007339 + ... + 11007381.

Almost surely, 2^473316480 is an apocalyptic number.

473316480 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 473316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074427200).

473316480 is an abundant number, since it is smaller than the sum of its proper divisors (1675537920).

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

473316480 is a wasteful number, since it uses less digits than its factorization.

473316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 473316480 is about 21755.8378372335. The cubic root of 473316480 is about 779.3224886041.

The spelling of 473316480 in words is "four hundred seventy-three million, three hundred sixteen thousand, four hundred eighty".