471467520 has 320 divisors, whose sum is σ = 1767744000. Its totient is φ = 118775808.

The previous prime is 471467519. The next prime is 471467537. The reversal of 471467520 is 25764174.

471467520 is a `hidden beast` number, since 4 + 71 + 4 + 67 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

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, 1313101 + ... + 1313459.

It is an arithmetic number, because the mean of its divisors is an integer number (5524200).

Almost surely, 2^471467520 is an apocalyptic number.

471467520 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 471467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883872000).

471467520 is an abundant number, since it is smaller than the sum of its proper divisors (1296276480).

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

471467520 is a wasteful number, since it uses less digits than its factorization.

471467520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 471467520 is about 21713.3028348982. The cubic root of 471467520 is about 778.3063844825.

The spelling of 471467520 in words is "four hundred seventy-one million, four hundred sixty-seven thousand, five hundred twenty".