505998900 has 252 divisors, whose sum is σ = 1798780704. Its totient is φ = 122472000.

The previous prime is 505998893. The next prime is 505998949. The reversal of 505998900 is 9899505.

505998900 is a `hidden beast` number, since 50 + 599 + 8 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 801585 + ... + 802215.

Almost surely, 2^505998900 is an apocalyptic number.

505998900 is a gapful number since it is divisible by the number (50) 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 505998900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899390352).

505998900 is an abundant number, since it is smaller than the sum of its proper divisors (1292781804).

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

505998900 is a wasteful number, since it uses less digits than its factorization.

505998900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The square root of 505998900 is about 22494.4193079084. The cubic root of 505998900 is about 796.8621354325.

The spelling of 505998900 in words is "five hundred five million, nine hundred ninety-eight thousand, nine hundred".