438106461 has 32 divisors (see below), whose sum is σ = 658409472. Its totient is φ = 257104320.

The previous prime is 438106399. The next prime is 438106463. The reversal of 438106461 is 164601834.

It is not a de Polignac number, because 438106461 - 2⁹ = 438105949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438106463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450706 + ... + 451676.

It is an arithmetic number, because the mean of its divisors is an integer number (20575296).

Almost surely, 2^438106461 is an apocalyptic number.

It is an amenable number.

438106461 is a deficient number, since it is larger than the sum of its proper divisors (220303011).

438106461 is a wasteful number, since it uses less digits than its factorization.

438106461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 438106461 is about 20930.9928335949. The cubic root of 438106461 is about 759.4978567807.

The spelling of 438106461 in words is "four hundred thirty-eight million, one hundred six thousand, four hundred sixty-one".