505846920 has 64 divisors (see below), whose sum is σ = 1522825920. Its totient is φ = 134422784.

The previous prime is 505846919. The next prime is 505846921. The reversal of 505846920 is 29648505.

It is an interprime number because it is at equal distance from previous prime (505846919) and next prime (505846921).

It is a super-2 number, since 2×505846920² = 511762212946972800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505846921) 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 15 ways as a sum of consecutive naturals, for example, 27967 + ... + 42353.

It is an arithmetic number, because the mean of its divisors is an integer number (23794155).

Almost surely, 2^505846920 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 505846920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761412960).

505846920 is an abundant number, since it is smaller than the sum of its proper divisors (1016979000).

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

505846920 is a wasteful number, since it uses less digits than its factorization.

505846920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14694 (or 14690 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 505846920 is about 22491.0408829827. The cubic root of 505846920 is about 796.7823465670.

The spelling of 505846920 in words is "five hundred five million, eight hundred forty-six thousand, nine hundred twenty".