505473510240 has 384 divisors, whose sum is σ = 1873745395200. Its totient is φ = 126911784960.

The previous prime is 505473510163. The next prime is 505473510263. The reversal of 505473510240 is 42015374505.

505473510240 is a `hidden beast` number, since 5 + 0 + 54 + 73 + 510 + 24 + 0 = 666.

505473510240 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 505473510195 and 505473510204.

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, 13360150 + ... + 13397930.

It is an arithmetic number, because the mean of its divisors is an integer number (4879545300).

Almost surely, 2^505473510240 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 505473510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936872697600).

505473510240 is an abundant number, since it is smaller than the sum of its proper divisors (1368271884960).

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

505473510240 is a wasteful number, since it uses less digits than its factorization.

505473510240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37987 (or 37973 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Adding to 505473510240 its reverse (42015374505), we get a palindrome (547488884745).

The spelling of 505473510240 in words is "five hundred five billion, four hundred seventy-three million, five hundred ten thousand, two hundred forty".