328820460 has 192 divisors, whose sum is σ = 1050900480. Its totient is φ = 76520448.

The previous prime is 328820447. The next prime is 328820461. The reversal of 328820460 is 64028823.

It is a super-2 number, since 2×328820460² = 216245789829223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328820461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6996157 + ... + 6996203.

It is an arithmetic number, because the mean of its divisors is an integer number (5473440).

Almost surely, 2^328820460 is an apocalyptic number.

328820460 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 328820460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525450240).

328820460 is an abundant number, since it is smaller than the sum of its proper divisors (722080020).

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

328820460 is a wasteful number, since it uses less digits than its factorization.

328820460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 328820460 is about 18133.4072915158. The cubic root of 328820460 is about 690.2179945529.

The spelling of 328820460 in words is "three hundred twenty-eight million, eight hundred twenty thousand, four hundred sixty".