505406245432 has 256 divisors, whose sum is σ = 1133509386240. Its totient is φ = 208876800000.

The previous prime is 505406245423. The next prime is 505406245511. The reversal of 505406245432 is 234542604505.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1096325682 + ... + 1096326142.

It is an arithmetic number, because the mean of its divisors is an integer number (4427771040).

Almost surely, 2^505406245432 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 505406245432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566754693120).

505406245432 is an abundant number, since it is smaller than the sum of its proper divisors (628103140808).

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

505406245432 is a wasteful number, since it uses less digits than its factorization.

505406245432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 505406245432 its reverse (234542604505), we get a palindrome (739948849937).

The spelling of 505406245432 in words is "five hundred five billion, four hundred six million, two hundred forty-five thousand, four hundred thirty-two".