470005506 has 24 divisors (see below), whose sum is σ = 1062622080. Its totient is φ = 149856696.

The previous prime is 470005453. The next prime is 470005507. The reversal of 470005506 is 605500074.

It is a super-3 number, since 3×470005506³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 470005506.

It is not an unprimeable number, because it can be changed into a prime (470005507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567226 + ... + 568053.

It is an arithmetic number, because the mean of its divisors is an integer number (44275920).

Almost surely, 2^470005506 is an apocalyptic number.

470005506 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

470005506 is an abundant number, since it is smaller than the sum of its proper divisors (592616574).

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

470005506 is a wasteful number, since it uses less digits than its factorization.

470005506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135310 (or 1135307 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 470005506 is about 21679.6103747277. The cubic root of 470005506 is about 777.5010458246.

The spelling of 470005506 in words is "four hundred seventy million, five thousand, five hundred six".