505327776 has 96 divisors (see below), whose sum is σ = 1376460288. Its totient is φ = 162155520.

The previous prime is 505327763. The next prime is 505327831. The reversal of 505327776 is 677723505.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×505327776² = 510712322394212352, which contains 22 as substring.

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, 824046 + ... + 824658.

It is an arithmetic number, because the mean of its divisors is an integer number (14338128).

Almost surely, 2^505327776 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 505327776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688230144).

505327776 is an abundant number, since it is smaller than the sum of its proper divisors (871132512).

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

505327776 is a wasteful number, since it uses less digits than its factorization.

505327776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 42.

The square root of 505327776 is about 22479.4967915209. The cubic root of 505327776 is about 796.5096775408.

The spelling of 505327776 in words is "five hundred five million, three hundred twenty-seven thousand, seven hundred seventy-six".