506426431224 has 256 divisors, whose sum is σ = 1682801049600. Its totient is φ = 123404802048.

The previous prime is 506426431219. The next prime is 506426431261. The reversal of 506426431224 is 422134624605.

It is a happy number.

It is a super-3 number, since 3×506426431224³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1045189 + ... + 1450955.

It is an arithmetic number, because the mean of its divisors is an integer number (6573441600).

Almost surely, 2^506426431224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506426431224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841400524800).

506426431224 is an abundant number, since it is smaller than the sum of its proper divisors (1176374618376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506426431224 is a wasteful number, since it uses less digits than its factorization.

506426431224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405842 (or 405838 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 506426431224 in words is "five hundred six billion, four hundred twenty-six million, four hundred thirty-one thousand, two hundred twenty-four".