470036332544 has 180 divisors, whose sum is σ = 1017978024924. Its totient is φ = 216904237056.

The previous prime is 470036332541. The next prime is 470036332573. The reversal of 470036332544 is 445233630074.

It can be written as a sum of positive squares in 6 ways, for example, as 4584914944 + 465451417600 = 67712^2 + 682240^2 .

It is a super-2 number, since 2×470036332544² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470036332541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250952792 + ... + 250954664.

Almost surely, 2^470036332544 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 470036332544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508989012462).

470036332544 is an abundant number, since it is smaller than the sum of its proper divisors (547941692380).

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

470036332544 is an equidigital number, since it uses as much as digits as its factorization.

470036332544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 41.

The spelling of 470036332544 in words is "four hundred seventy billion, thirty-six million, three hundred thirty-two thousand, five hundred forty-four".