505867648 has 128 divisors (see below), whose sum is σ = 1226080800. Its totient is φ = 204718080.

The previous prime is 505867633. The next prime is 505867679. The reversal of 505867648 is 846768505.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530340 + ... + 531292.

Almost surely, 2^505867648 is an apocalyptic number.

505867648 is a gapful number since it is divisible by the number (58) 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 505867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613040400).

505867648 is an abundant number, since it is smaller than the sum of its proper divisors (720213152).

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

505867648 is a wasteful number, since it uses less digits than its factorization.

505867648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The square root of 505867648 is about 22491.5016839694. The cubic root of 505867648 is about 796.7932296216.

The spelling of 505867648 in words is "five hundred five million, eight hundred sixty-seven thousand, six hundred forty-eight".