471132480 has 224 divisors, whose sum is σ = 1841382144. Its totient is φ = 99385344.

The previous prime is 471132443. The next prime is 471132511. The reversal of 471132480 is 84231174.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 84664 + ... + 90056.

It is an arithmetic number, because the mean of its divisors is an integer number (8220456).

Almost surely, 2^471132480 is an apocalyptic number.

471132480 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 471132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920691072).

471132480 is an abundant number, since it is smaller than the sum of its proper divisors (1370249664).

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

471132480 is a wasteful number, since it uses less digits than its factorization.

471132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 471132480 is about 21705.5863777047. The cubic root of 471132480 is about 778.1219776015.

The spelling of 471132480 in words is "four hundred seventy-one million, one hundred thirty-two thousand, four hundred eighty".