472615 has 16 divisors (see below), whose sum is σ = 667296. Its totient is φ = 316800.

The previous prime is 472597. The next prime is 472631. The reversal of 472615 is 516274.

It is not a de Polignac number, because 472615 - 2⁹ = 472103 is a prime.

It is a Duffinian number.

472615 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 472615.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 385 + ... + 1045.

It is an arithmetic number, because the mean of its divisors is an integer number (41706).

2⁴⁷²⁶¹⁵ is an apocalyptic number.

472615 is a deficient number, since it is larger than the sum of its proper divisors (194681).

472615 is a wasteful number, since it uses less digits than its factorization.

472615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690.

The product of its digits is 1680, while the sum is 25.

The square root of 472615 is about 687.4699993454. The cubic root of 472615 is about 77.8937299234.

Subtracting from 472615 its product of digits (1680), we obtain a triangular number (470935 = T₉₇₀).

Adding to 472615 its reverse (516274), we get a palindrome (988889).

It can be divided in two parts, 47 and 2615, that added together give a palindrome (2662).

The spelling of 472615 in words is "four hundred seventy-two thousand, six hundred fifteen".