471984480 has 288 divisors, whose sum is σ = 1783192320. Its totient is φ = 112727040.

The previous prime is 471984479. The next prime is 471984503. The reversal of 471984480 is 84489174.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1314541 + ... + 1314899.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^471984480 is an apocalyptic number.

471984480 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 471984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891596160).

471984480 is an abundant number, since it is smaller than the sum of its proper divisors (1311207840).

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

471984480 is a wasteful number, since it uses less digits than its factorization.

471984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 471984480 is about 21725.2037965125. The cubic root of 471984480 is about 778.5907492811.

The spelling of 471984480 in words is "four hundred seventy-one million, nine hundred eighty-four thousand, four hundred eighty".