416878401 has 8 divisors (see below), whose sum is σ = 556511680. Its totient is φ = 277582032.

The previous prime is 416878361. The next prime is 416878433. The reversal of 416878401 is 104878614.

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

It is not a de Polignac number, because 416878401 - 2⁹ = 416877889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 416878401.

It is not an unprimeable number, because it can be changed into a prime (416879401) 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, 81325 + ... + 86298.

It is an arithmetic number, because the mean of its divisors is an integer number (69563960).

Almost surely, 2^416878401 is an apocalyptic number.

It is an amenable number.

416878401 is a deficient number, since it is larger than the sum of its proper divisors (139633279).

416878401 is a wasteful number, since it uses less digits than its factorization.

416878401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168455.

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 416878401 is about 20417.6002752527. The cubic root of 416878401 is about 747.0272853016.

The spelling of 416878401 in words is "four hundred sixteen million, eight hundred seventy-eight thousand, four hundred one".