505835604 has 96 divisors (see below), whose sum is σ = 1353905280. Its totient is φ = 165278880.

The previous prime is 505835597. The next prime is 505835633. The reversal of 505835604 is 406538505.

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

It is a congruent number.

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, 463099 + ... + 464189.

It is an arithmetic number, because the mean of its divisors is an integer number (14103180).

Almost surely, 2^505835604 is an apocalyptic number.

505835604 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505835604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676952640).

505835604 is an abundant number, since it is smaller than the sum of its proper divisors (848069676).

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

505835604 is a wasteful number, since it uses less digits than its factorization.

505835604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 505835604 is about 22490.7893147395. The cubic root of 505835604 is about 796.7764050750.

The spelling of 505835604 in words is "five hundred five million, eight hundred thirty-five thousand, six hundred four".