472500 has 120 divisors (see below), whose sum is σ = 1749440. Its totient is φ = 108000.

The previous prime is 472477. The next prime is 472523. The reversal of 472500 is 5274.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (472477) and next prime (472523).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

472500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 39 ways as a sum of consecutive naturals, for example, 67497 + ... + 67503.

2⁴⁷²⁵⁰⁰ 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 472500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874720).

472500 is an abundant number, since it is smaller than the sum of its proper divisors (1276940).

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

472500 is a wasteful number, since it uses less digits than its factorization.

472500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 472500 is about 687.3863542434. The cubic root of 472500 is about 77.8874115278.

Adding to 472500 its reverse (5274), we get a palindrome (477774).

The spelling of 472500 in words is "four hundred seventy-two thousand, five hundred".