329412540 has 96 divisors (see below), whose sum is σ = 940133376. Its totient is φ = 86169600.

The previous prime is 329412511. The next prime is 329412547. The reversal of 329412540 is 45214923.

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 = 329412498 and 329412507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329412547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933004 + ... + 933356.

It is an arithmetic number, because the mean of its divisors is an integer number (9793056).

Almost surely, 2^329412540 is an apocalyptic number.

329412540 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 329412540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470066688).

329412540 is an abundant number, since it is smaller than the sum of its proper divisors (610720836).

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

329412540 is a wasteful number, since it uses less digits than its factorization.

329412540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 329412540 is about 18149.7256177607. The cubic root of 329412540 is about 690.6320191065.

The spelling of 329412540 in words is "three hundred twenty-nine million, four hundred twelve thousand, five hundred forty".