505791600 has 60 divisors (see below), whose sum is σ = 1620222936. Its totient is φ = 134877440.

The previous prime is 505791593. The next prime is 505791607. The reversal of 505791600 is 6197505.

It is an interprime number because it is at equal distance from previous prime (505791593) and next prime (505791607).

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505791607) 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 11 ways as a sum of consecutive naturals, for example, 209547 + ... + 211946.

Almost surely, 2^505791600 is an apocalyptic number.

505791600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505791600 is an abundant number, since it is smaller than the sum of its proper divisors (1114431336).

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

505791600 is a wasteful number, since it uses less digits than its factorization.

505791600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421514 (or 421503 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 505791600 is about 22489.8110263292. The cubic root of 505791600 is about 796.7532998307.

The spelling of 505791600 in words is "five hundred five million, seven hundred ninety-one thousand, six hundred".