471388480 has 224 divisors, whose sum is σ = 1269918720. Its totient is φ = 165888000.

The previous prime is 471388433. The next prime is 471388493. The reversal of 471388480 is 84883174.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7727650 + ... + 7727710.

It is an arithmetic number, because the mean of its divisors is an integer number (5669280).

Almost surely, 2^471388480 is an apocalyptic number.

471388480 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 471388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634959360).

471388480 is an abundant number, since it is smaller than the sum of its proper divisors (798530240).

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

471388480 is a wasteful number, since it uses less digits than its factorization.

471388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 471388480 is about 21711.4826762246. The cubic root of 471388480 is about 778.2628885384.

The spelling of 471388480 in words is "four hundred seventy-one million, three hundred eighty-eight thousand, four hundred eighty".