321414420 has 96 divisors (see below), whose sum is σ = 943552512. Its totient is φ = 81595008.

The previous prime is 321414409. The next prime is 321414493. The reversal of 321414420 is 24414123.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 390129 + ... + 390951.

It is an arithmetic number, because the mean of its divisors is an integer number (9828672).

Almost surely, 2^321414420 is an apocalyptic number.

321414420 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 321414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471776256).

321414420 is an abundant number, since it is smaller than the sum of its proper divisors (622138092).

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

321414420 is a wasteful number, since it uses less digits than its factorization.

321414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 321414420 is about 17928.0344711851. The cubic root of 321414420 is about 684.9966575929.

Adding to 321414420 its reverse (24414123), we get a palindrome (345828543).

The spelling of 321414420 in words is "three hundred twenty-one million, four hundred fourteen thousand, four hundred twenty".