10405461 has 32 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 5969600.

The previous prime is 10405459. The next prime is 10405469. The reversal of 10405461 is 16450401.

It is a cyclic number.

It is not a de Polignac number, because 10405461 - 2¹ = 10405459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405469) 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 31 ways as a sum of consecutive naturals, for example, 79366 + ... + 79496.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 2^10405461 is an apocalyptic number.

10405461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10405461 is a deficient number, since it is larger than the sum of its proper divisors (5561259).

10405461 is a wasteful number, since it uses less digits than its factorization.

10405461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10405461 is about 3225.7496803069. The cubic root of 10405461 is about 218.3167756740.

Adding to 10405461 its reverse (16450401), we get a palindrome (26855862).

The spelling of 10405461 in words is "ten million, four hundred five thousand, four hundred sixty-one".