505665440 has 96 divisors (see below), whose sum is σ = 1370234880. Its totient is φ = 172744704.

The previous prime is 505665409. The next prime is 505665463. The reversal of 505665440 is 44566505.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 505665440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394721 + ... + 395999.

It is an arithmetic number, because the mean of its divisors is an integer number (14273280).

Almost surely, 2^505665440 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 505665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685117440).

505665440 is an abundant number, since it is smaller than the sum of its proper divisors (864569440).

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

505665440 is a wasteful number, since it uses less digits than its factorization.

505665440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 505665440 is about 22487.0060257029. The cubic root of 505665440 is about 796.6870493862.

The spelling of 505665440 in words is "five hundred five million, six hundred sixty-five thousand, four hundred forty".