505312920 has 192 divisors, whose sum is σ = 1886976000. Its totient is φ = 114879744.

The previous prime is 505312919. The next prime is 505312931. The reversal of 505312920 is 29213505.

It is a super-2 number, since 2×505312920² = 510682294237852800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601861 + ... + 602699.

It is an arithmetic number, because the mean of its divisors is an integer number (9828000).

Almost surely, 2^505312920 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 505312920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488000).

505312920 is an abundant number, since it is smaller than the sum of its proper divisors (1381663080).

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

505312920 is a wasteful number, since it uses less digits than its factorization.

505312920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 505312920 is about 22479.1663546494. The cubic root of 505312920 is about 796.5018720039.

The spelling of 505312920 in words is "five hundred five million, three hundred twelve thousand, nine hundred twenty".