505716480 has 144 divisors (see below), whose sum is σ = 1794713760. Its totient is φ = 134848512.

The previous prime is 505716473. The next prime is 505716487. The reversal of 505716480 is 84617505.

505716480 is a `hidden beast` number, since 5 + 0 + 5 + 7 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (505716473) and next prime (505716487).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505716487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27244 + ... + 41876.

It is an arithmetic number, because the mean of its divisors is an integer number (12463290).

Almost surely, 2^505716480 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 505716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897356880).

505716480 is an abundant number, since it is smaller than the sum of its proper divisors (1288997280).

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

505716480 is a wasteful number, since it uses less digits than its factorization.

505716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14663 (or 14643 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 505716480 is about 22488.1408746922. The cubic root of 505716480 is about 796.7138533662.

The spelling of 505716480 in words is "five hundred five million, seven hundred sixteen thousand, four hundred eighty".