506329600 has 120 divisors (see below), whose sum is σ = 1433935008. Its totient is φ = 173568000.

The previous prime is 506329591. The next prime is 506329627. The reversal of 506329600 is 6923605.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86775 + ... + 92425.

Almost surely, 2^506329600 is an apocalyptic number.

506329600 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 506329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716967504).

506329600 is an abundant number, since it is smaller than the sum of its proper divisors (927605408).

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

506329600 is an equidigital number, since it uses as much as digits as its factorization.

506329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5686 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 506329600 is about 22501.7688193617. The cubic root of 506329600 is about 797.0356963631.

The spelling of 506329600 in words is "five hundred six million, three hundred twenty-nine thousand, six hundred".