505987776 has 224 divisors, whose sum is σ = 1731264000. Its totient is φ = 141917184.

The previous prime is 505987763. The next prime is 505987777. The reversal of 505987776 is 677789505.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×505987776² = 512047258922852352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (505987777) 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 31 ways as a sum of consecutive naturals, for example, 713310 + ... + 714018.

Almost surely, 2^505987776 is an apocalyptic number.

505987776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505987776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865632000).

505987776 is an abundant number, since it is smaller than the sum of its proper divisors (1225276224).

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

505987776 is a wasteful number, since it uses less digits than its factorization.

505987776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The square root of 505987776 is about 22494.1720452210. The cubic root of 505987776 is about 796.8562959208.

The spelling of 505987776 in words is "five hundred five million, nine hundred eighty-seven thousand, seven hundred seventy-six".