506205600 has 288 divisors, whose sum is σ = 1839257280. Its totient is φ = 120176640.

The previous prime is 506205599. The next prime is 506205607. The reversal of 506205600 is 6502605.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (506205607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774874 + ... + 775526.

It is an arithmetic number, because the mean of its divisors is an integer number (6386310).

Almost surely, 2^506205600 is an apocalyptic number.

506205600 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 506205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919628640).

506205600 is an abundant number, since it is smaller than the sum of its proper divisors (1333051680).

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

506205600 is a wasteful number, since it uses less digits than its factorization.

506205600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 506205600 is about 22499.0133116988. The cubic root of 506205600 is about 796.9706264327.

The spelling of 506205600 in words is "five hundred six million, two hundred five thousand, six hundred".