505467648 has 288 divisors, whose sum is σ = 1768632320. Its totient is φ = 139345920.

The previous prime is 505467643. The next prime is 505467649. The reversal of 505467648 is 846764505.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (505467643) 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, 1499736 + ... + 1500072.

Almost surely, 2^505467648 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 505467648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884316160).

505467648 is an abundant number, since it is smaller than the sum of its proper divisors (1263164672).

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

505467648 is a wasteful number, since it uses less digits than its factorization.

505467648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 505467648 is about 22482.6076779363. The cubic root of 505467648 is about 796.5831606207.

The spelling of 505467648 in words is "five hundred five million, four hundred sixty-seven thousand, six hundred forty-eight".