6401461 has 16 divisors (see below), whose sum is σ = 7444800. Its totient is φ = 5443200.

The previous prime is 6401459. The next prime is 6401467. The reversal of 6401461 is 1641046.

It is a cyclic number.

It is not a de Polignac number, because 6401461 - 2¹ = 6401459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401467) 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 15 ways as a sum of consecutive naturals, for example, 22641 + ... + 22921.

It is an arithmetic number, because the mean of its divisors is an integer number (465300).

Almost surely, 2^6401461 is an apocalyptic number.

6401461 is the 1132-nd centered decagonal number.

It is an amenable number.

6401461 is a deficient number, since it is larger than the sum of its proper divisors (1043339).

6401461 is a wasteful number, since it uses less digits than its factorization.

6401461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420.

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

The square root of 6401461 is about 2530.1108671361. The cubic root of 6401461 is about 185.6776801056.

The spelling of 6401461 in words is "six million, four hundred one thousand, four hundred sixty-one".