321419904 has 192 divisors, whose sum is σ = 964242720. Its totient is φ = 94279680.

The previous prime is 321419849. The next prime is 321419983. The reversal of 321419904 is 409914123.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 4797279 + ... + 4797345.

Almost surely, 2^321419904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321419904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482121360).

321419904 is an abundant number, since it is smaller than the sum of its proper divisors (642822816).

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

321419904 is a wasteful number, since it uses less digits than its factorization.

321419904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 321419904 is about 17928.1874153524. The cubic root of 321419904 is about 685.0005533943. Note that the first 3 decimals are identical.

The spelling of 321419904 in words is "three hundred twenty-one million, four hundred nineteen thousand, nine hundred four".