472520 has 16 divisors (see below), whose sum is σ = 1063260. Its totient is φ = 188992.

The previous prime is 472477. The next prime is 472523. The reversal of 472520 is 25274.

It can be written as a sum of positive squares in 2 ways, for example, as 465124 + 7396 = 682^2 + 86^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 472492 and 472501.

It is not an unprimeable number, because it can be changed into a prime (472523) by changing a digit.

472520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5867 + ... + 5946.

2⁴⁷²⁵²⁰ is an apocalyptic number.

472520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472520 is an abundant number, since it is smaller than the sum of its proper divisors (590740).

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

472520 is a wasteful number, since it uses less digits than its factorization.

472520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11824 (or 11820 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 472520 is about 687.4009019488. The cubic root of 472520 is about 77.8885104528. Note that the first 3 decimals are identical.

Adding to 472520 its reverse (25274), we get a palindrome (497794).

The spelling of 472520 in words is "four hundred seventy-two thousand, five hundred twenty".