321420 has 48 divisors (see below), whose sum is σ = 983808. Its totient is φ = 77760.

The previous prime is 321413. The next prime is 321427. The reversal of 321420 is 24123.

321420 = 28² + 29² + ... + 99².

It is an interprime number because it is at equal distance from previous prime (321413) and next prime (321427).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 321396 and 321405.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321420.

It is not an unprimeable number, because it can be changed into a prime (321427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417 + ... + 903.

It is an arithmetic number, because the mean of its divisors is an integer number (20496).

2³²¹⁴²⁰ is an apocalyptic number.

321420 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 321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491904).

321420 is an abundant number, since it is smaller than the sum of its proper divisors (662388).

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

321420 is a wasteful number, since it uses less digits than its factorization.

321420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 321420 is about 566.9391501740. The cubic root of 321420 is about 68.5000621592.

Adding to 321420 its reverse (24123), we get a palindrome (345543).

It can be divided in two parts, 321 and 420, that added together give a triangular number (741 = T₃₈).

The spelling of 321420 in words is "three hundred twenty-one thousand, four hundred twenty", and thus it is an iban number.