505756840 has 32 divisors (see below), whose sum is σ = 1141245000. Its totient is φ = 201717504.

The previous prime is 505756831. The next prime is 505756843. The reversal of 505756840 is 48657505.

It can be written as a sum of positive squares in 4 ways, for example, as 453945636 + 51811204 = 21306^2 + 7198^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 505756793 and 505756802.

It is not an unprimeable number, because it can be changed into a prime (505756843) 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, 4155 + ... + 32074.

Almost surely, 2^505756840 is an apocalyptic number.

It is an amenable number.

505756840 is an abundant number, since it is smaller than the sum of its proper divisors (635488160).

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

505756840 is a wasteful number, since it uses less digits than its factorization.

505756840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36589 (or 36585 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The square root of 505756840 is about 22489.0382186522. The cubic root of 505756840 is about 796.7350473995.

The spelling of 505756840 in words is "five hundred five million, seven hundred fifty-six thousand, eight hundred forty".