505001600 has 48 divisors (see below), whose sum is σ = 1247519670. Its totient is φ = 201999360.

The previous prime is 505001597. The next prime is 505001617. The reversal of 505001600 is 6100505.

It can be written as a sum of positive squares in 3 ways, for example, as 464143936 + 40857664 = 21544^2 + 6392^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75707 + ... + 82106.

Almost surely, 2^505001600 is an apocalyptic number.

505001600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505001600 is an abundant number, since it is smaller than the sum of its proper divisors (742518070).

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

505001600 is a wasteful number, since it uses less digits than its factorization.

505001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157837 (or 157820 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 505001600 is about 22472.2406537488. The cubic root of 505001600 is about 796.3382651945.

The spelling of 505001600 in words is "five hundred five million, one thousand, six hundred".