368460 has 72 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 92928.

The previous prime is 368453. The next prime is 368471. The reversal of 368460 is 64863.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368460.

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 23 ways as a sum of consecutive naturals, for example, 4096 + ... + 4184.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2³⁶⁸⁴⁶⁰ is an apocalyptic number.

368460 is a gapful number since it is divisible by the number (30) 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 368460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

368460 is an abundant number, since it is smaller than the sum of its proper divisors (810900).

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

368460 is a wasteful number, since it uses less digits than its factorization.

368460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 122 counting only the distinct ones).

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

The square root of 368460 is about 607.0090608879. The cubic root of 368460 is about 71.6908037201.

It can be divided in two parts, 368 and 460, that added together give a palindrome (828).

The spelling of 368460 in words is "three hundred sixty-eight thousand, four hundred sixty".