470449517120 has 224 divisors, whose sum is σ = 1239483098880. Its totient is φ = 168654274560.

The previous prime is 470449517117. The next prime is 470449517137. The reversal of 470449517120 is 21715944074.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84473696 + ... + 84479264.

Almost surely, 2^470449517120 is an apocalyptic number.

470449517120 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 470449517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619741549440).

470449517120 is an abundant number, since it is smaller than the sum of its proper divisors (769033581760).

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

470449517120 is a wasteful number, since it uses less digits than its factorization.

470449517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 470449517120 in words is "four hundred seventy billion, four hundred forty-nine million, five hundred seventeen thousand, one hundred twenty".