505257984 has 336 divisors, whose sum is σ = 1840138560. Its totient is φ = 129761280.

The previous prime is 505257971. The next prime is 505258001. The reversal of 505257984 is 489752505.

505257984 is a `hidden beast` number, since 50 + 525 + 79 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5677012 + ... + 5677100.

Almost surely, 2^505257984 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 505257984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920069280).

505257984 is an abundant number, since it is smaller than the sum of its proper divisors (1334880576).

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

505257984 is a wasteful number, since it uses less digits than its factorization.

505257984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 505257984 is about 22477.9443900015. The cubic root of 505257984 is about 796.4730065815.

It can be divided in two parts, 5052 and 57984, that added together give a palindrome (63036).

The spelling of 505257984 in words is "five hundred five million, two hundred fifty-seven thousand, nine hundred eighty-four".