53795200 has 48 divisors (see below), whose sum is σ = 132898860. Its totient is φ = 21516800.

The previous prime is 53795173. The next prime is 53795219. The reversal of 53795200 is 259735.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5206 + ... + 11605.

Almost surely, 2^53795200 is an apocalyptic number.

53795200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53795200 is an abundant number, since it is smaller than the sum of its proper divisors (79103660).

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

53795200 is a wasteful number, since it uses less digits than its factorization.

53795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16835 (or 16818 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 53795200 is about 7334.5211159284. The cubic root of 53795200 is about 377.4978728883.

The spelling of 53795200 in words is "fifty-three million, seven hundred ninety-five thousand, two hundred".