360468 has 72 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 103680.

The previous prime is 360461. The next prime is 360497. The reversal of 360468 is 864063.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

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 360468.

It is not an unprimeable number, because it can be changed into a prime (360461) by changing a digit.

360468 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 23 ways as a sum of consecutive naturals, for example, 11613 + ... + 11643.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

2³⁶⁰⁴⁶⁸ is an apocalyptic number.

360468 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

360468 is an abundant number, since it is smaller than the sum of its proper divisors (687852).

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

360468 is a wasteful number, since it uses less digits than its factorization.

360468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 360468 is about 600.3898733323. The cubic root of 360468 is about 71.1686791500.

It can be divided in two parts, 360 and 468, that added together give a palindrome (828).

The spelling of 360468 in words is "three hundred sixty thousand, four hundred sixty-eight".