505707120 has 240 divisors, whose sum is σ = 1790635392. Its totient is φ = 127733760.

The previous prime is 505707107. The next prime is 505707121. The reversal of 505707120 is 21707505.

505707120 is a `hidden beast` number, since 5 + 0 + 570 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505707121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1092009 + ... + 1092471.

Almost surely, 2^505707120 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 505707120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895317696).

505707120 is an abundant number, since it is smaller than the sum of its proper divisors (1284928272).

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

505707120 is a wasteful number, since it uses less digits than its factorization.

505707120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 505707120 is about 22487.9327640404. The cubic root of 505707120 is about 796.7089380378.

The spelling of 505707120 in words is "five hundred five million, seven hundred seven thousand, one hundred twenty".