505932840 has 576 divisors, whose sum is σ = 2112739200. Its totient is φ = 104315904.

The previous prime is 505932809. The next prime is 505932877. The reversal of 505932840 is 48239505.

505932840 is a `hidden beast` number, since 5 + 0 + 593 + 28 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 505932795 and 505932804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11765859 + ... + 11765901.

It is an arithmetic number, because the mean of its divisors is an integer number (3667950).

Almost surely, 2^505932840 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 505932840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056369600).

505932840 is an abundant number, since it is smaller than the sum of its proper divisors (1606806360).

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

505932840 is a wasteful number, since it uses less digits than its factorization.

505932840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 505932840 is about 22492.9508957807. The cubic root of 505932840 is about 796.8274561715.

The spelling of 505932840 in words is "five hundred five million, nine hundred thirty-two thousand, eight hundred forty".