321416401 has 8 divisors (see below), whose sum is σ = 332966144. Its totient is φ = 309940560.

The previous prime is 321416363. The next prime is 321416419. The reversal of 321416401 is 104614123.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 321416401 - 2⁷ = 321416273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321416461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9546 + ... + 27091.

It is an arithmetic number, because the mean of its divisors is an integer number (41620768).

Almost surely, 2^321416401 is an apocalyptic number.

321416401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

321416401 is a deficient number, since it is larger than the sum of its proper divisors (11549743).

321416401 is a wasteful number, since it uses less digits than its factorization.

321416401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36951.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 321416401 is about 17928.0897197666. The cubic root of 321416401 is about 684.9980648888.

The spelling of 321416401 in words is "three hundred twenty-one million, four hundred sixteen thousand, four hundred one".