326400 has 108 divisors (see below), whose sum is σ = 1140552. Its totient is φ = 81920.

The previous prime is 326369. The next prime is 326437. The reversal of 326400 is 4623.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 326400.

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, 19192 + ... + 19208.

2³²⁶⁴⁰⁰ is an apocalyptic number.

326400 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 326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570276).

326400 is an abundant number, since it is smaller than the sum of its proper divisors (814152).

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

326400 is a wasteful number, since it uses less digits than its factorization.

326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 326400 is about 571.3142742834. The cubic root of 326400 is about 68.8520248291.

The spelling of 326400 in words is "three hundred twenty-six thousand, four hundred".