505057120 has 48 divisors (see below), whose sum is σ = 1204389648. Its totient is φ = 200128000.

The previous prime is 505057117. The next prime is 505057123. The reversal of 505057120 is 21750505.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (505057117) and next prime (505057123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505057123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2370 + ... + 31870.

It is an arithmetic number, because the mean of its divisors is an integer number (25091451).

Almost surely, 2^505057120 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 505057120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602194824).

505057120 is an abundant number, since it is smaller than the sum of its proper divisors (699332528).

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

505057120 is a wasteful number, since it uses less digits than its factorization.

505057120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29623 (or 29615 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 25.

The square root of 505057120 is about 22473.4759216281. The cubic root of 505057120 is about 796.3674473332.

The spelling of 505057120 in words is "five hundred five million, fifty-seven thousand, one hundred twenty".