471545867520 has 2880 divisors, whose sum is σ = 2261673114624. Its totient is φ = 91092418560.

The previous prime is 471545867423. The next prime is 471545867521. The reversal of 471545867520 is 25768545174.

It is a happy number.

471545867520 is a `hidden beast` number, since 4 + 7 + 1 + 5 + 4 + 58 + 67 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471545867521) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8897091814 + ... + 8897091866.

Almost surely, 2^471545867520 is an apocalyptic number.

471545867520 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 471545867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130836557312).

471545867520 is an abundant number, since it is smaller than the sum of its proper divisors (1790127247104).

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

471545867520 is a wasteful number, since it uses less digits than its factorization.

471545867520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 471545867520 in words is "four hundred seventy-one billion, five hundred forty-five million, eight hundred sixty-seven thousand, five hundred twenty".