505200696 has 256 divisors, whose sum is σ = 1796981760. Its totient is φ = 113909760.

The previous prime is 505200691. The next prime is 505200743. The reversal of 505200696 is 696002505.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505200691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407790 + ... + 409026.

It is an arithmetic number, because the mean of its divisors is an integer number (7019460).

Almost surely, 2^505200696 is an apocalyptic number.

505200696 is a gapful number since it is divisible by the number (56) 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 505200696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898490880).

505200696 is an abundant number, since it is smaller than the sum of its proper divisors (1291781064).

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

505200696 is a wasteful number, since it uses less digits than its factorization.

505200696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 505200696 is about 22476.6700380639. The cubic root of 505200696 is about 796.4429031019.

The spelling of 505200696 in words is "five hundred five million, two hundred thousand, six hundred ninety-six".