505533600 has 432 divisors, whose sum is σ = 2098553184. Its totient is φ = 112896000.

The previous prime is 505533599. The next prime is 505533601. The reversal of 505533600 is 6335505.

It is a happy number.

505533600 is a `hidden beast` number, since 5 + 0 + 5 + 53 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (505533599) and next prime (505533601).

It is not an unprimeable number, because it can be changed into a prime (505533601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1029355 + ... + 1029845.

It is an arithmetic number, because the mean of its divisors is an integer number (4857762).

Almost surely, 2^505533600 is an apocalyptic number.

505533600 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 505533600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049276592).

505533600 is an abundant number, since it is smaller than the sum of its proper divisors (1593019584).

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

505533600 is a wasteful number, since it uses less digits than its factorization.

505533600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 505533600 is about 22484.0743638692. The cubic root of 505533600 is about 796.6178044256.

The spelling of 505533600 in words is "five hundred five million, five hundred thirty-three thousand, six hundred".