505288864 has 48 divisors (see below), whose sum is σ = 1015247520. Its totient is φ = 247484160.

The previous prime is 505288843. The next prime is 505288873. The reversal of 505288864 is 468882505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 739467 + ... + 740149.

It is an arithmetic number, because the mean of its divisors is an integer number (21150990).

Almost surely, 2^505288864 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 505288864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507623760).

505288864 is an abundant number, since it is smaller than the sum of its proper divisors (509958656).

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

505288864 is a wasteful number, since it uses less digits than its factorization.

505288864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The square root of 505288864 is about 22478.6312750577. The cubic root of 505288864 is about 796.4892323422.

The spelling of 505288864 in words is "five hundred five million, two hundred eighty-eight thousand, eight hundred sixty-four".