470531467486080 has 1536 divisors, whose sum is σ = 2226077852544000. Its totient is φ = 90251735777280.

The previous prime is 470531467485943. The next prime is 470531467486141. The reversal of 470531467486080 is 80684764135074.

470531467486080 is a `hidden beast` number, since 4 + 7 + 0 + 5 + 3 + 14 + 6 + 7 + 4 + 8 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 470531467485999 and 470531467486017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 281689507 + ... + 283354973.

It is an arithmetic number, because the mean of its divisors is an integer number (1449269435250).

Almost surely, 2^{470531467486080} is an apocalyptic number.

470531467486080 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 470531467486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113038926272000).

470531467486080 is an abundant number, since it is smaller than the sum of its proper divisors (1755546385057920).

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

470531467486080 is a wasteful number, since it uses less digits than its factorization.

470531467486080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665537 (or 1665508 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 470531467486080 in words is "four hundred seventy trillion, five hundred thirty-one billion, four hundred sixty-seven million, four hundred eighty-six thousand, eighty".