505765200 has 60 divisors (see below), whose sum is σ = 1620138368. Its totient is φ = 134870400.

The previous prime is 505765177. The next prime is 505765201. The reversal of 505765200 is 2567505.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505765201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209536 + ... + 211935.

Almost surely, 2^505765200 is an apocalyptic number.

505765200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505765200 is an abundant number, since it is smaller than the sum of its proper divisors (1114373168).

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

505765200 is a wasteful number, since it uses less digits than its factorization.

505765200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421492 (or 421481 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 505765200 is about 22489.2240862152. The cubic root of 505765200 is about 796.7394373011.

The spelling of 505765200 in words is "five hundred five million, seven hundred sixty-five thousand, two hundred".