470212404480 has 2592 divisors, whose sum is σ = 2210557547520. Its totient is φ = 94197841920.

The previous prime is 470212404479. The next prime is 470212404481. The reversal of 470212404480 is 84404212074.

It is an interprime number because it is at equal distance from previous prime (470212404479) and next prime (470212404481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470212404481) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8871932134 + ... + 8871932186.

It is an arithmetic number, because the mean of its divisors is an integer number (852838560).

Almost surely, 2^470212404480 is an apocalyptic number.

470212404480 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 470212404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105278773760).

470212404480 is an abundant number, since it is smaller than the sum of its proper divisors (1740345143040).

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

470212404480 is a wasteful number, since it uses less digits than its factorization.

470212404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 470212404480 in words is "four hundred seventy billion, two hundred twelve million, four hundred four thousand, four hundred eighty".