505263920 has 80 divisors (see below), whose sum is σ = 1345413888. Its totient is φ = 172865280.

The previous prime is 505263883. The next prime is 505263923. The reversal of 505263920 is 29362505.

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

It is not an unprimeable number, because it can be changed into a prime (505263923) 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, 462575 + ... + 463665.

Almost surely, 2^505263920 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 505263920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672706944).

505263920 is an abundant number, since it is smaller than the sum of its proper divisors (840149968).

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

505263920 is a wasteful number, since it uses less digits than its factorization.

505263920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 505263920 is about 22478.0764301575. The cubic root of 505263920 is about 796.4761256780.

The spelling of 505263920 in words is "five hundred five million, two hundred sixty-three thousand, nine hundred twenty".