10406451 has 16 divisors (see below), whose sum is σ = 15297408. Its totient is φ = 6240000.

The previous prime is 10406449. The next prime is 10406477. The reversal of 10406451 is 15460401.

It is not a de Polignac number, because 10406451 - 2¹ = 10406449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10406651) 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, 1576 + ... + 4826.

It is an arithmetic number, because the mean of its divisors is an integer number (956088).

Almost surely, 2^10406451 is an apocalyptic number.

10406451 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10406451 is a deficient number, since it is larger than the sum of its proper divisors (4890957).

10406451 is a wasteful number, since it uses less digits than its factorization.

10406451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362.

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

The square root of 10406451 is about 3225.9031293577. The cubic root of 10406451 is about 218.3236991780.

Adding to 10406451 its reverse (15460401), we get a palindrome (25866852).

The spelling of 10406451 in words is "ten million, four hundred six thousand, four hundred fifty-one".