470533220 has 48 divisors (see below), whose sum is σ = 1016847216. Its totient is φ = 182784000.

The previous prime is 470533177. The next prime is 470533223. The reversal of 470533220 is 22335074.

It can be written as a sum of positive squares in 8 ways, for example, as 149621824 + 320911396 = 12232^2 + 17914^2 .

It is a super-2 number, since 2×470533220² = 442803022247136800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 470533220.

It is not an unprimeable number, because it can be changed into a prime (470533223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196430 + ... + 198810.

It is an arithmetic number, because the mean of its divisors is an integer number (21184317).

Almost surely, 2^470533220 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 470533220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508423608).

470533220 is an abundant number, since it is smaller than the sum of its proper divisors (546313996).

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

470533220 is a wasteful number, since it uses less digits than its factorization.

With its successor (470533221) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2670).

With its successor (470533221) it forms an eRAP, since the sums of their prime factors are consecutive (2672 and 2673).

470533220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 470533220 is about 21691.7777049277. Note that the first 4 decimals coincide. The cubic root of 470533220 is about 777.7919252000.

Adding to 470533220 its reverse (22335074), we get a palindrome (492868294).

The spelling of 470533220 in words is "four hundred seventy million, five hundred thirty-three thousand, two hundred twenty".