505284480 has 384 divisors, whose sum is σ = 1912010400. Its totient is φ = 127650816.

The previous prime is 505284473. The next prime is 505284497. The reversal of 505284480 is 84482505.

505284480 is a `hidden beast` number, since 50 + 52 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26593911 + ... + 26593929.

Almost surely, 2^505284480 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 505284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956005200).

505284480 is an abundant number, since it is smaller than the sum of its proper divisors (1406725920).

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

505284480 is an frugal number, since it uses more digits than its factorization.

505284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 505284480 is about 22478.5337600120. The cubic root of 505284480 is about 796.4869288289.

The spelling of 505284480 in words is "five hundred five million, two hundred eighty-four thousand, four hundred eighty".