505623240 has 192 divisors, whose sum is σ = 1705017600. Its totient is φ = 129862656.

The previous prime is 505623221. The next prime is 505623247. The reversal of 505623240 is 42326505.

It is not an unprimeable number, because it can be changed into a prime (505623247) by changing a digit.

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, 1377537 + ... + 1377903.

It is an arithmetic number, because the mean of its divisors is an integer number (8880300).

Almost surely, 2^505623240 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 505623240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852508800).

505623240 is an abundant number, since it is smaller than the sum of its proper divisors (1199394360).

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

505623240 is a wasteful number, since it uses less digits than its factorization.

505623240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 505623240 is about 22486.0676864587. The cubic root of 505623240 is about 796.6648864262.

Adding to 505623240 its reverse (42326505), we get a palindrome (547949745).

The spelling of 505623240 in words is "five hundred five million, six hundred twenty-three thousand, two hundred forty".