329460264 has 128 divisors (see below), whose sum is σ = 1052256000. Its totient is φ = 93560832.

The previous prime is 329460251. The next prime is 329460269. The reversal of 329460264 is 462064923.

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

It is not an unprimeable number, because it can be changed into a prime (329460269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291252 + ... + 292380.

It is an arithmetic number, because the mean of its divisors is an integer number (8220750).

Almost surely, 2^329460264 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 329460264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526128000).

329460264 is an abundant number, since it is smaller than the sum of its proper divisors (722795736).

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

329460264 is a wasteful number, since it uses less digits than its factorization.

329460264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 329460264 is about 18151.0403007651. The cubic root of 329460264 is about 690.6653695177.

The spelling of 329460264 in words is "three hundred twenty-nine million, four hundred sixty thousand, two hundred sixty-four".