505863120 has 160 divisors (see below), whose sum is σ = 1799384832. Its totient is φ = 115163136.

The previous prime is 505863119. The next prime is 505863131. The reversal of 505863120 is 21368505.

It is a super-2 number, since 2×505863120² = 511794992352268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592614 + ... + 593466.

Almost surely, 2^505863120 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 505863120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899692416).

505863120 is an abundant number, since it is smaller than the sum of its proper divisors (1293521712).

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

505863120 is a wasteful number, since it uses less digits than its factorization.

505863120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 505863120 is about 22491.4010235023. The cubic root of 505863120 is about 796.7908522603.

The spelling of 505863120 in words is "five hundred five million, eight hundred sixty-three thousand, one hundred twenty".