471748480 has 160 divisors (see below), whose sum is σ = 1319943240. Its totient is φ = 161215488.

The previous prime is 471748471. The next prime is 471748489. The reversal of 471748480 is 84847174.

It is an interprime number because it is at equal distance from previous prime (471748471) and next prime (471748489).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471748489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1536487 + ... + 1536793.

Almost surely, 2^471748480 is an apocalyptic number.

471748480 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 471748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659971620).

471748480 is an abundant number, since it is smaller than the sum of its proper divisors (848194760).

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

471748480 is an frugal number, since it uses more digits than its factorization.

471748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 43.

The square root of 471748480 is about 21719.7716378419. The cubic root of 471748480 is about 778.4609582542.

The spelling of 471748480 in words is "four hundred seventy-one million, seven hundred forty-eight thousand, four hundred eighty".