505592640 has 336 divisors, whose sum is σ = 2054108160. Its totient is φ = 111697920.

The previous prime is 505592621. The next prime is 505592651. The reversal of 505592640 is 46295505.

505592640 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 9 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 505592595 and 505592604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624556 + ... + 625364.

Almost surely, 2^505592640 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 505592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027054080).

505592640 is an abundant number, since it is smaller than the sum of its proper divisors (1548515520).

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

505592640 is a wasteful number, since it uses less digits than its factorization.

505592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 505592640 is about 22485.3872548373. The cubic root of 505592640 is about 796.6488148829.

The spelling of 505592640 in words is "five hundred five million, five hundred ninety-two thousand, six hundred forty".