876410401 has 8 divisors (see below), whose sum is σ = 934194600. Its totient is φ = 819318528.

The previous prime is 876410389. The next prime is 876410419. The reversal of 876410401 is 104014678.

876410401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 302760000 + 573650401 = 17400^2 + 23951^2 .

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 876410401 - 2²⁵ = 842855969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (876410441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170466 + ... + 175531.

It is an arithmetic number, because the mean of its divisors is an integer number (116774325).

Almost surely, 2^876410401 is an apocalyptic number.

It is an amenable number.

876410401 is a deficient number, since it is larger than the sum of its proper divisors (57784199).

876410401 is a wasteful number, since it uses less digits than its factorization.

876410401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346163.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 876410401 is about 29604.2294444561. The cubic root of 876410401 is about 956.9792202864.

The spelling of 876410401 in words is "eight hundred seventy-six million, four hundred ten thousand, four hundred one".