505405040 has 80 divisors (see below), whose sum is σ = 1389286080. Its totient is φ = 167301120.

The previous prime is 505405037. The next prime is 505405049. The reversal of 505405040 is 40504505.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 505404997 and 505405015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505405049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680 + ... + 31800.

It is an arithmetic number, because the mean of its divisors is an integer number (17366076).

Almost surely, 2^505405040 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 505405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694643040).

505405040 is an abundant number, since it is smaller than the sum of its proper divisors (883881040).

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

505405040 is a wasteful number, since it uses less digits than its factorization.

505405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31170 (or 31164 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 23.

The square root of 505405040 is about 22481.2152696423. The cubic root of 505405040 is about 796.5502705910.

Adding to 505405040 its reverse (40504505), we get a palindrome (545909545).

It can be divided in two parts, 50540 and 5040, that multiplied together give a square (254721600 = 15960²).

The spelling of 505405040 in words is "five hundred five million, four hundred five thousand, forty".