360472 has 32 divisors (see below), whose sum is σ = 796320. Its totient is φ = 149760.

The previous prime is 360461. The next prime is 360497. The reversal of 360472 is 274063.

360472 is nontrivially palindromic in base 15.

360472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360472.

It is an unprimeable number.

360472 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2218 + ... + 2374.

It is an arithmetic number, because the mean of its divisors is an integer number (24885).

2³⁶⁰⁴⁷² 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 360472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398160).

360472 is an abundant number, since it is smaller than the sum of its proper divisors (435848).

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

360472 is a wasteful number, since it uses less digits than its factorization.

360472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 360472 is about 600.3932044919. The cubic root of 360472 is about 71.1689423945.

The spelling of 360472 in words is "three hundred sixty thousand, four hundred seventy-two".