329226240 has 192 divisors, whose sum is σ = 1204519680. Its totient is φ = 75202560.

The previous prime is 329226229. The next prime is 329226263. The reversal of 329226240 is 42622923.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 329226198 and 329226207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214275 + ... + 215805.

It is an arithmetic number, because the mean of its divisors is an integer number (6273540).

Almost surely, 2^329226240 is an apocalyptic number.

329226240 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 329226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602259840).

329226240 is an abundant number, since it is smaller than the sum of its proper divisors (875293440).

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

329226240 is a wasteful number, since it uses less digits than its factorization.

329226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 329226240 is about 18144.5925829157. The cubic root of 329226240 is about 690.5017983927.

The spelling of 329226240 in words is "three hundred twenty-nine million, two hundred twenty-six thousand, two hundred forty".