471804480 has 448 divisors, whose sum is σ = 1975104000. Its totient is φ = 103735296.

The previous prime is 471804467. The next prime is 471804481. The reversal of 471804480 is 84408174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (471804481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1753786 + ... + 1754054.

Almost surely, 2^471804480 is an apocalyptic number.

471804480 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 471804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987552000).

471804480 is an abundant number, since it is smaller than the sum of its proper divisors (1503299520).

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

471804480 is a wasteful number, since it uses less digits than its factorization.

471804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 471804480 is about 21721.0607475786. The cubic root of 471804480 is about 778.4917600414.

The spelling of 471804480 in words is "four hundred seventy-one million, eight hundred four thousand, four hundred eighty".