368480 has 72 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 123648.

The previous prime is 368471. The next prime is 368491. The reversal of 368480 is 84863.

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 368480.

It is an unprimeable number.

368480 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 11 ways as a sum of consecutive naturals, for example, 7817 + ... + 7863.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2³⁶⁸⁴⁸⁰ 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 368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104).

368480 is an abundant number, since it is smaller than the sum of its proper divisors (665728).

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

368480 is a wasteful number, since it uses less digits than its factorization.

368480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 368480 is about 607.0255348830. The cubic root of 368480 is about 71.6921008216.

It can be divided in two parts, 368 and 480, that added together give a palindrome (848).

The spelling of 368480 in words is "three hundred sixty-eight thousand, four hundred eighty".