505507590 has 96 divisors (see below), whose sum is σ = 1516320000. Its totient is φ = 114449472.

The previous prime is 505507531. The next prime is 505507591. The reversal of 505507590 is 95705505.

It is a happy number.

505507590 is a `hidden beast` number, since 50 + 550 + 7 + 59 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505507591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63661 + ... + 71159.

It is an arithmetic number, because the mean of its divisors is an integer number (15795000).

Almost surely, 2^505507590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505507590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758160000).

505507590 is an abundant number, since it is smaller than the sum of its proper divisors (1010812410).

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

505507590 is a wasteful number, since it uses less digits than its factorization.

505507590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7626 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 39375, while the sum is 36.

The square root of 505507590 is about 22483.4959470275. The cubic root of 505507590 is about 796.6041420403.

The spelling of 505507590 in words is "five hundred five million, five hundred seven thousand, five hundred ninety".