505431520 has 72 divisors (see below), whose sum is σ = 1312553592. Its totient is φ = 183786240.

The previous prime is 505431481. The next prime is 505431523. The reversal of 505431520 is 25134505.

It is a super-2 number, since 2×505431520² = 510922042819020800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505431523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6307 + ... + 32413.

It is an arithmetic number, because the mean of its divisors is an integer number (18229911).

Almost surely, 2^505431520 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 505431520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656276796).

505431520 is an abundant number, since it is smaller than the sum of its proper divisors (807122072).

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

505431520 is a wasteful number, since it uses less digits than its factorization.

505431520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26144 (or 26125 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 505431520 is about 22481.8041980620. The cubic root of 505431520 is about 796.5641817323.

The spelling of 505431520 in words is "five hundred five million, four hundred thirty-one thousand, five hundred twenty".