505649088 has 224 divisors, whose sum is σ = 1799539200. Its totient is φ = 135917568.

The previous prime is 505649087. The next prime is 505649093. The reversal of 505649088 is 880946505.

505649088 is a `hidden beast` number, since 5 + 0 + 564 + 9 + 0 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505649087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204403 + ... + 206861.

Almost surely, 2^505649088 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 505649088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899769600).

505649088 is an abundant number, since it is smaller than the sum of its proper divisors (1293890112).

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

505649088 is a wasteful number, since it uses less digits than its factorization.

505649088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 505649088 is about 22486.6424350102. The cubic root of 505649088 is about 796.6784616481.

The spelling of 505649088 in words is "five hundred five million, six hundred forty-nine thousand, eighty-eight".