505403648 has 72 divisors (see below), whose sum is σ = 1098854400. Its totient is φ = 231081984.

The previous prime is 505403627. The next prime is 505403651. The reversal of 505403648 is 846304505.

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, 139265 + ... + 142847.

Almost surely, 2^505403648 is an apocalyptic number.

505403648 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 505403648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549427200).

505403648 is an abundant number, since it is smaller than the sum of its proper divisors (593450752).

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

505403648 is a wasteful number, since it uses less digits than its factorization.

505403648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 505403648 is about 22481.1843104406. The cubic root of 505403648 is about 796.5495392970.

The spelling of 505403648 in words is "five hundred five million, four hundred three thousand, six hundred forty-eight".