505478908440 has 1152 divisors, whose sum is σ = 1955796111360. Its totient is φ = 112907520000.

The previous prime is 505478908379. The next prime is 505478908447. The reversal of 505478908440 is 44809874505.

It is a happy number.

505478908440 is a `hidden beast` number, since 5 + 0 + 5 + 478 + 90 + 84 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505478908447) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3347542365 + ... + 3347542515.

It is an arithmetic number, because the mean of its divisors is an integer number (1697739680).

Almost surely, 2^505478908440 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 505478908440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977898055680).

505478908440 is an abundant number, since it is smaller than the sum of its proper divisors (1450317202920).

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

505478908440 is a wasteful number, since it uses less digits than its factorization.

505478908440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 505478908440 in words is "five hundred five billion, four hundred seventy-eight million, nine hundred eight thousand, four hundred forty".