505875456 has 264 divisors, whose sum is σ = 1609433280. Its totient is φ = 158257152.

The previous prime is 505875451. The next prime is 505875463. The reversal of 505875456 is 654578505.

505875456 is a `hidden beast` number, since 50 + 58 + 7 + 545 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (505875451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4727755 + ... + 4727861.

Almost surely, 2^505875456 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 505875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804716640).

505875456 is an abundant number, since it is smaller than the sum of its proper divisors (1103557824).

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

505875456 is a wasteful number, since it uses less digits than its factorization.

505875456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The square root of 505875456 is about 22491.6752599712. The cubic root of 505875456 is about 796.7973290664.

The spelling of 505875456 in words is "five hundred five million, eight hundred seventy-five thousand, four hundred fifty-six".