368400 has 60 divisors (see below), whose sum is σ = 1183952. Its totient is φ = 97920.

The previous prime is 368399. The next prime is 368411. The reversal of 368400 is 4863.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1047 + ... + 1353.

2³⁶⁸⁴⁰⁰ is an apocalyptic number.

368400 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 368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591976).

368400 is an abundant number, since it is smaller than the sum of its proper divisors (815552).

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

368400 is a wasteful number, since it uses less digits than its factorization.

368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 368400 is about 606.9596362197. The cubic root of 368400 is about 71.6869121337.

The spelling of 368400 in words is "three hundred sixty-eight thousand, four hundred".