505883840 has 224 divisors, whose sum is σ = 1536192000. Its totient is φ = 157301760.

The previous prime is 505883839. The next prime is 505883857. The reversal of 505883840 is 48388505.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207151 + ... + 1207569.

It is an arithmetic number, because the mean of its divisors is an integer number (6858000).

Almost surely, 2^505883840 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 505883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096000).

505883840 is an abundant number, since it is smaller than the sum of its proper divisors (1030308160).

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

505883840 is a wasteful number, since it uses less digits than its factorization.

505883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 505883840 is about 22491.8616392685. The cubic root of 505883840 is about 796.8017308823.

The spelling of 505883840 in words is "five hundred five million, eight hundred eighty-three thousand, eight hundred forty".