329422464 has 384 divisors, whose sum is σ = 1202947200. Its totient is φ = 87588864.

The previous prime is 329422427. The next prime is 329422487. The reversal of 329422464 is 464224923.

329422464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3701332 + ... + 3701420.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2^329422464 is an apocalyptic number.

329422464 is a gapful number since it is divisible by the number (34) 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 329422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600).

329422464 is an abundant number, since it is smaller than the sum of its proper divisors (873524736).

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

329422464 is an equidigital number, since it uses as much as digits as its factorization.

329422464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 329422464 is about 18149.9990082644. Note that the first 3 decimals coincide. The cubic root of 329422464 is about 690.6389544460.

Adding to 329422464 its sum of digits (36), we get a square (329422500 = 18150²).

The spelling of 329422464 in words is "three hundred twenty-nine million, four hundred twenty-two thousand, four hundred sixty-four".