505985040 has 240 divisors, whose sum is σ = 1918537920. Its totient is φ = 118379520.

The previous prime is 505985023. The next prime is 505985047. The reversal of 505985040 is 40589505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 505984986 and 505985004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505985047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228579 + ... + 230781.

It is an arithmetic number, because the mean of its divisors is an integer number (7993908).

Almost surely, 2^505985040 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 505985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959268960).

505985040 is an abundant number, since it is smaller than the sum of its proper divisors (1412552880).

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

505985040 is a wasteful number, since it uses less digits than its factorization.

505985040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 505985040 is about 22494.1112293862. Note that the first 3 decimals coincide. The cubic root of 505985040 is about 796.8548596525.

The spelling of 505985040 in words is "five hundred five million, nine hundred eighty-five thousand, forty".