470624115840 has 1024 divisors, whose sum is σ = 1730974924800. Its totient is φ = 108091146240.

The previous prime is 470624115791. The next prime is 470624115869. The reversal of 470624115840 is 48511426074.

It is a junction number, because it is equal to n+sod(n) for n = 470624115792 and 470624115801.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1969138441 + ... + 1969138679.

It is an arithmetic number, because the mean of its divisors is an integer number (1690405200).

Almost surely, 2^470624115840 is an apocalyptic number.

470624115840 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 470624115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865487462400).

470624115840 is an abundant number, since it is smaller than the sum of its proper divisors (1260350808960).

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

470624115840 is a wasteful number, since it uses less digits than its factorization.

470624115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 470624115840 in words is "four hundred seventy billion, six hundred twenty-four million, one hundred fifteen thousand, eight hundred forty".