505476720 has 320 divisors, whose sum is σ = 2015585280. Its totient is φ = 114048000.

The previous prime is 505476701. The next prime is 505476749. The reversal of 505476720 is 27674505.

505476720 is a `hidden beast` number, since 50 + 547 + 67 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1526955 + ... + 1527285.

It is an arithmetic number, because the mean of its divisors is an integer number (6298704).

Almost surely, 2^505476720 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 505476720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007792640).

505476720 is an abundant number, since it is smaller than the sum of its proper divisors (1510108560).

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

505476720 is a wasteful number, since it uses less digits than its factorization.

505476720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 505476720 is about 22482.8094329868. The cubic root of 505476720 is about 796.5879262136.

The spelling of 505476720 in words is "five hundred five million, four hundred seventy-six thousand, seven hundred twenty".