470306578560 has 1536 divisors, whose sum is σ = 1964209201920. Its totient is φ = 94796513280.

The previous prime is 470306578541. The next prime is 470306578589. The reversal of 470306578560 is 65875603074.

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, 4162005064 + ... + 4162005176.

Almost surely, 2^470306578560 is an apocalyptic number.

470306578560 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 470306578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982104600960).

470306578560 is an abundant number, since it is smaller than the sum of its proper divisors (1493902623360).

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

470306578560 is a wasteful number, since it uses less digits than its factorization.

470306578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 470306578560 in words is "four hundred seventy billion, three hundred six million, five hundred seventy-eight thousand, five hundred sixty".