506545600 has 168 divisors, whose sum is σ = 1440564048. Its totient is φ = 173260800.

The previous prime is 506545579. The next prime is 506545619. The reversal of 506545600 is 6545605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298354 + ... + 300046.

It is an arithmetic number, because the mean of its divisors is an integer number (8574786).

Almost surely, 2^506545600 is an apocalyptic number.

506545600 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 506545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720282024).

506545600 is an abundant number, since it is smaller than the sum of its proper divisors (934018448).

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

506545600 is a wasteful number, since it uses less digits than its factorization.

506545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 506545600 is about 22506.5679302732. The cubic root of 506545600 is about 797.1490186174.

The spelling of 506545600 in words is "five hundred six million, five hundred forty-five thousand, six hundred".