470808965088 has 576 divisors, whose sum is σ = 1726299993600. Its totient is φ = 118153728000.

The previous prime is 470808965083. The next prime is 470808965089. The reversal of 470808965088 is 880569808074.

470808965088 is a `hidden beast` number, since 47 + 0 + 8 + 0 + 89 + 6 + 508 + 8 = 666.

It is a super-2 number, since 2×470808965088² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470808965083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122254363 + ... + 122258213.

It is an arithmetic number, because the mean of its divisors is an integer number (2997048600).

Almost surely, 2^470808965088 is an apocalyptic number.

470808965088 is a gapful number since it is divisible by the number (48) 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 470808965088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863149996800).

470808965088 is an abundant number, since it is smaller than the sum of its proper divisors (1255491028512).

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

470808965088 is a wasteful number, since it uses less digits than its factorization.

470808965088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 470808965088 in words is "four hundred seventy billion, eight hundred eight million, nine hundred sixty-five thousand, eighty-eight".