53465600 has 60 divisors (see below), whose sum is σ = 132496914. Its totient is φ = 21381120.

The previous prime is 53465597. The next prime is 53465617. The reversal of 53465600 is 656435.

It can be written as a sum of positive squares in 3 ways, for example, as 49336576 + 4129024 = 7024^2 + 2032^2 .

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, 10712 + ... + 14888.

Almost surely, 2^53465600 is an apocalyptic number.

53465600 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 53465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66248457).

53465600 is an abundant number, since it is smaller than the sum of its proper divisors (79031314).

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

53465600 is an equidigital number, since it uses as much as digits as its factorization.

53465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 53465600 is about 7312.0175054495. The cubic root of 53465600 is about 376.7253239199.

The spelling of 53465600 in words is "fifty-three million, four hundred sixty-five thousand, six hundred".