472600 has 48 divisors (see below), whose sum is σ = 1171800. Its totient is φ = 176640.

The previous prime is 472597. The next prime is 472631. The reversal of 472600 is 6274.

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3331 + ... + 3469.

2⁴⁷²⁶⁰⁰ is an apocalyptic number.

472600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585900).

472600 is an abundant number, since it is smaller than the sum of its proper divisors (699200).

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

472600 is a wasteful number, since it uses less digits than its factorization.

472600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 472600 is about 687.4590896919. The cubic root of 472600 is about 77.8929058429.

Adding to 472600 its reverse (6274), we get a palindrome (478874).

The spelling of 472600 in words is "four hundred seventy-two thousand, six hundred".