472815 has 48 divisors (see below), whose sum is σ = 998400. Its totient is φ = 202176.

The previous prime is 472799. The next prime is 472817. The reversal of 472815 is 518274.

472815 = 18² + 19² + ... + 112².

It is not a de Polignac number, because 472815 - 2⁴ = 472799 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5946 + ... + 6024.

It is an arithmetic number, because the mean of its divisors is an integer number (20800).

2⁴⁷²⁸¹⁵ is an apocalyptic number.

472815 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

472815 is an abundant number, since it is smaller than the sum of its proper divisors (525585).

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

472815 is a wasteful number, since it uses less digits than its factorization.

472815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 113 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 472815 is about 687.6154448527. The cubic root of 472815 is about 77.9047159966.

The spelling of 472815 in words is "four hundred seventy-two thousand, eight hundred fifteen".