321480 has 96 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 79488.

The previous prime is 321469. The next prime is 321509. The reversal of 321480 is 84123.

321480 = T₈₁ + T₈₂ + ... + T₁₃₄.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321480.

It is an unprimeable number.

321480 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 23 ways as a sum of consecutive naturals, for example, 6817 + ... + 6863.

It is an arithmetic number, because the mean of its divisors is an integer number (11700).

2³²¹⁴⁸⁰ is an apocalyptic number.

321480 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 321480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600).

321480 is an abundant number, since it is smaller than the sum of its proper divisors (801720).

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

321480 is a wasteful number, since it uses less digits than its factorization.

321480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 321480 is about 566.9920634365. The cubic root of 321480 is about 68.5043242337.

The spelling of 321480 in words is "three hundred twenty-one thousand, four hundred eighty".