506400441 has 8 divisors (see below), whose sum is σ = 675460320. Its totient is φ = 337470432.

The previous prime is 506400439. The next prime is 506400473. The reversal of 506400441 is 144004605.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 506400441 - 2¹ = 506400439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506400341) 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 7 ways as a sum of consecutive naturals, for example, 22971 + ... + 39248.

It is an arithmetic number, because the mean of its divisors is an integer number (84432540).

Almost surely, 2^506400441 is an apocalyptic number.

It is an amenable number.

506400441 is a deficient number, since it is larger than the sum of its proper divisors (169059879).

506400441 is a wasteful number, since it uses less digits than its factorization.

506400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64935.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 506400441 is about 22503.3428850027. The cubic root of 506400441 is about 797.0728659411.

The spelling of 506400441 in words is "five hundred six million, four hundred thousand, four hundred forty-one".