470221272 has 144 divisors (see below), whose sum is σ = 1367028000. Its totient is φ = 145971072.

The previous prime is 470221249. The next prime is 470221273. The reversal of 470221272 is 272122074.

It is a super-2 number, since 2×470221272² = 442216089282595968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470221273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2053254 + ... + 2053482.

It is an arithmetic number, because the mean of its divisors is an integer number (9493250).

Almost surely, 2^470221272 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 470221272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683514000).

470221272 is an abundant number, since it is smaller than the sum of its proper divisors (896806728).

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

470221272 is a wasteful number, since it uses less digits than its factorization.

470221272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 470221272 is about 21684.5860463141. The cubic root of 470221272 is about 777.6200037403.

The spelling of 470221272 in words is "four hundred seventy million, two hundred twenty-one thousand, two hundred seventy-two".