471280320 has 336 divisors, whose sum is σ = 1879445568. Its totient is φ = 106168320.

The previous prime is 471280309. The next prime is 471280333. The reversal of 471280320 is 23082174.

It is a tau number, because it is divible by the number of its divisors (336).

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, 1955400 + ... + 1955640.

It is an arithmetic number, because the mean of its divisors is an integer number (5593588).

Almost surely, 2^471280320 is an apocalyptic number.

471280320 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 471280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939722784).

471280320 is an abundant number, since it is smaller than the sum of its proper divisors (1408165248).

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

471280320 is a wasteful number, since it uses less digits than its factorization.

471280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 471280320 is about 21708.9916854745. The cubic root of 471280320 is about 778.2033598930.

The spelling of 471280320 in words is "four hundred seventy-one million, two hundred eighty thousand, three hundred twenty".