505065456 has 100 divisors (see below), whose sum is σ = 1670665392. Its totient is φ = 144301824.

The previous prime is 505065439. The next prime is 505065469. The reversal of 505065456 is 654560505.

It is a happy number.

505065456 is a `hidden beast` number, since 50 + 506 + 54 + 56 = 666.

It is a super-2 number, since 2×505065456² = 510182229688975872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 505065456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18765 + ... + 36908.

Almost surely, 2^505065456 is an apocalyptic number.

505065456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

505065456 is an abundant number, since it is smaller than the sum of its proper divisors (1165599936).

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

505065456 is a wasteful number, since it uses less digits than its factorization.

505065456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55700 (or 55685 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 505065456 is about 22473.6613839401. The cubic root of 505065456 is about 796.3718286743.

It can be divided in two parts, 505065 and 456, that added together give a square (505521 = 711²).

The spelling of 505065456 in words is "five hundred five million, sixty-five thousand, four hundred fifty-six".