505766456 has 64 divisors (see below), whose sum is σ = 1086734880. Its totient is φ = 218603520.

The previous prime is 505766449. The next prime is 505766479. The reversal of 505766456 is 654667505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425495 + ... + 426681.

Almost surely, 2^505766456 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 505766456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543367440).

505766456 is an abundant number, since it is smaller than the sum of its proper divisors (580968424).

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

505766456 is a wasteful number, since it uses less digits than its factorization.

505766456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 44.

The square root of 505766456 is about 22489.2520106828. The cubic root of 505766456 is about 796.7400968323.

The spelling of 505766456 in words is "five hundred five million, seven hundred sixty-six thousand, four hundred fifty-six".