505797600 has 864 divisors, whose sum is σ = 2308352256. Its totient is φ = 94617600.

The previous prime is 505797599. The next prime is 505797631. The reversal of 505797600 is 6797505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21991189 + ... + 21991211.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2^505797600 is an apocalyptic number.

505797600 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 505797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154176128).

505797600 is an abundant number, since it is smaller than the sum of its proper divisors (1802554656).

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

505797600 is a wasteful number, since it uses less digits than its factorization.

505797600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 505797600 is about 22489.9444196734. The cubic root of 505797600 is about 796.7564503383.

The spelling of 505797600 in words is "five hundred five million, seven hundred ninety-seven thousand, six hundred".