505305640 has 96 divisors (see below), whose sum is σ = 1335934080. Its totient is φ = 171497088.

The previous prime is 505305631. The next prime is 505305641. The reversal of 505305640 is 46503505.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 505305599 and 505305608.

It is not an unprimeable number, because it can be changed into a prime (505305641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200629 + ... + 203131.

It is an arithmetic number, because the mean of its divisors is an integer number (13915980).

Almost surely, 2^505305640 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 505305640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667967040).

505305640 is an abundant number, since it is smaller than the sum of its proper divisors (830628440).

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

505305640 is a wasteful number, since it uses less digits than its factorization.

505305640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 505305640 is about 22479.0044263530. The cubic root of 505305640 is about 796.4980469408.

The spelling of 505305640 in words is "five hundred five million, three hundred five thousand, six hundred forty".