321205248 has 264 divisors, whose sum is σ = 1144485888. Its totient is φ = 84492288.

The previous prime is 321205243. The next prime is 321205249. The reversal of 321205248 is 842502123.

321205248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×321205248² = 206345622685483008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321205243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838465 + ... + 838847.

Almost surely, 2^321205248 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 321205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572242944).

321205248 is an abundant number, since it is smaller than the sum of its proper divisors (823280640).

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

321205248 is a wasteful number, since it uses less digits than its factorization.

321205248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 321205248 is about 17922.1998649719. The cubic root of 321205248 is about 684.8480299384.

The spelling of 321205248 in words is "three hundred twenty-one million, two hundred five thousand, two hundred forty-eight".