505469260440 has 320 divisors, whose sum is σ = 1764428117760. Its totient is φ = 129689683200.

The previous prime is 505469260381. The next prime is 505469260447. The reversal of 505469260440 is 44062964505.

505469260440 is a `hidden beast` number, since 5 + 0 + 546 + 9 + 2 + 60 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505469260447) 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 79 ways as a sum of consecutive naturals, for example, 9307365 + ... + 9361515.

It is an arithmetic number, because the mean of its divisors is an integer number (5513837868).

Almost surely, 2^505469260440 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 505469260440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882214058880).

505469260440 is an abundant number, since it is smaller than the sum of its proper divisors (1258958857320).

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

505469260440 is a wasteful number, since it uses less digits than its factorization.

505469260440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54284 (or 54271 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 505469260440 in words is "five hundred five billion, four hundred sixty-nine million, two hundred sixty thousand, four hundred forty".