470849480206560 has 4608 divisors, whose sum is σ = 2256764306227200. Its totient is φ = 91719073087488.

The previous prime is 470849480206513. The next prime is 470849480206571. The reversal of 470849480206560 is 65602084948074.

470849480206560 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 4 + 9 + 48 + 0 + 20 + 6 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 148673658097 + ... + 148673661263.

It is an arithmetic number, because the mean of its divisors is an integer number (489749198400).

Almost surely, 2^{470849480206560} is an apocalyptic number.

470849480206560 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 470849480206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128382153113600).

470849480206560 is an abundant number, since it is smaller than the sum of its proper divisors (1785914826020640).

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

470849480206560 is a wasteful number, since it uses less digits than its factorization.

470849480206560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 470849480206560 in words is "four hundred seventy trillion, eight hundred forty-nine billion, four hundred eighty million, two hundred six thousand, five hundred sixty".