329400801 has 12 divisors (see below), whose sum is σ = 476910720. Its totient is φ = 219088440.

The previous prime is 329400791. The next prime is 329400803. The reversal of 329400801 is 108004923.

It is not a de Polignac number, because 329400801 - 2¹⁵ = 329368033 is a prime.

It is a super-3 number, since 3×329400801³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (329400803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38581 + ... + 46338.

It is an arithmetic number, because the mean of its divisors is an integer number (39742560).

Almost surely, 2^329400801 is an apocalyptic number.

It is an amenable number.

329400801 is a deficient number, since it is larger than the sum of its proper divisors (147509919).

329400801 is a wasteful number, since it uses less digits than its factorization.

329400801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85356 (or 85353 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 329400801 is about 18149.4022215609. The cubic root of 329400801 is about 690.6238151833.

The spelling of 329400801 in words is "three hundred twenty-nine million, four hundred thousand, eight hundred one".