505203872 has 48 divisors (see below), whose sum is σ = 1012435200. Its totient is φ = 248117760.

The previous prime is 505203833. The next prime is 505203877. The reversal of 505203872 is 278302505.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (505203877) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 509297 + ... + 510287.

It is an arithmetic number, because the mean of its divisors is an integer number (21092400).

Almost surely, 2^505203872 is an apocalyptic number.

It is an amenable number.

505203872 is an abundant number, since it is smaller than the sum of its proper divisors (507231328).

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

505203872 is a wasteful number, since it uses less digits than its factorization.

505203872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 505203872 is about 22476.7406889878. The cubic root of 505203872 is about 796.4445720739. Note that the first 3 decimals are identical.

The spelling of 505203872 in words is "five hundred five million, two hundred three thousand, eight hundred seventy-two".