505190784 has 96 divisors (see below), whose sum is σ = 1561059000. Its totient is φ = 144334848.

The previous prime is 505190783. The next prime is 505190797. The reversal of 505190784 is 487091505.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505190783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5392 + ... + 32240.

Almost surely, 2^505190784 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 505190784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780529500).

505190784 is an abundant number, since it is smaller than the sum of its proper divisors (1055868216).

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

505190784 is a wasteful number, since it uses less digits than its factorization.

505190784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26880 (or 26861 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 505190784 is about 22476.4495416870. The cubic root of 505190784 is about 796.4376943511.

The spelling of 505190784 in words is "five hundred five million, one hundred ninety thousand, seven hundred eighty-four".