321290240 has 128 divisors (see below), whose sum is σ = 806866920. Its totient is φ = 122683392.

The previous prime is 321290201. The next prime is 321290251. The reversal of 321290240 is 42092123.

It can be written as a sum of positive squares in 4 ways, for example, as 316555264 + 4734976 = 17792^2 + 2176^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6062054 + ... + 6062106.

Almost surely, 2^321290240 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 321290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403433460).

321290240 is an abundant number, since it is smaller than the sum of its proper divisors (485576680).

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

321290240 is an frugal number, since it uses more digits than its factorization.

321290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 321290240 is about 17924.5708456297. The cubic root of 321290240 is about 684.9084289833.

The spelling of 321290240 in words is "three hundred twenty-one million, two hundred ninety thousand, two hundred forty".