471388320 has 288 divisors, whose sum is σ = 1754298000. Its totient is φ = 115255296.

The previous prime is 471388319. The next prime is 471388321. The reversal of 471388320 is 23883174.

471388320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (471388319) and next prime (471388321).

It can be written as a sum of positive squares in 8 ways, for example, as 101364624 + 370023696 = 10068^2 + 19236^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (471388321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3163606 + ... + 3163754.

Almost surely, 2^471388320 is an apocalyptic number.

471388320 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 471388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877149000).

471388320 is an abundant number, since it is smaller than the sum of its proper divisors (1282909680).

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

471388320 is a wasteful number, since it uses less digits than its factorization.

471388320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 471388320 is about 21711.4789915381. The cubic root of 471388320 is about 778.2628004850.

The spelling of 471388320 in words is "four hundred seventy-one million, three hundred eighty-eight thousand, three hundred twenty".