470720848500 has 960 divisors, whose sum is σ = 1907774668800. Its totient is φ = 98607456000.

The previous prime is 470720848483. The next prime is 470720848501. The reversal of 470720848500 is 5848027074.

470720848500 is a `hidden beast` number, since 4 + 70 + 72 + 0 + 8 + 4 + 8 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470720848501) 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, 166980091 + ... + 166982909.

It is an arithmetic number, because the mean of its divisors is an integer number (1987265280).

Almost surely, 2^470720848500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470720848500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953887334400).

470720848500 is an abundant number, since it is smaller than the sum of its proper divisors (1437053820300).

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

470720848500 is a wasteful number, since it uses less digits than its factorization.

470720848500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 470720848500 in words is "four hundred seventy billion, seven hundred twenty million, eight hundred forty-eight thousand, five hundred".