505881920 has 56 divisors (see below), whose sum is σ = 1275505704. Its totient is φ = 190447616.

The previous prime is 505881917. The next prime is 505881923. The reversal of 505881920 is 29188505.

It is an interprime number because it is at equal distance from previous prime (505881917) and next prime (505881923).

It can be written as a sum of positive squares in 4 ways, for example, as 6270016 + 499611904 = 2504^2 + 22352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505881923) 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, 41057 + ... + 51936.

Almost surely, 2^505881920 is an apocalyptic number.

It is an amenable number.

505881920 is an abundant number, since it is smaller than the sum of its proper divisors (769623784).

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

505881920 is a wasteful number, since it uses less digits than its factorization.

505881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93027 (or 93017 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 38.

The square root of 505881920 is about 22491.8189571231. The cubic root of 505881920 is about 796.8007228371.

The spelling of 505881920 in words is "five hundred five million, eight hundred eighty-one thousand, nine hundred twenty".