470645240832 has 220 divisors, whose sum is σ = 1513552839876. Its totient is φ = 144813588480.

The previous prime is 470645240773. The next prime is 470645240843. The reversal of 470645240832 is 238042546074.

It is a happy number.

470645240832 is a `hidden beast` number, since 47 + 0 + 6 + 4 + 524 + 0 + 83 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213133648896 + 257511591936 = 461664^2 + 507456^2 .

It is a super-2 number, since 2×470645240832² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 860032 + ... + 1296512.

Almost surely, 2^470645240832 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 470645240832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756776419938).

470645240832 is an abundant number, since it is smaller than the sum of its proper divisors (1042907599044).

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

470645240832 is a wasteful number, since it uses less digits than its factorization.

470645240832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436526 (or 436499 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 470645240832 in words is "four hundred seventy billion, six hundred forty-five million, two hundred forty thousand, eight hundred thirty-two".