53412800 has 168 divisors, whose sum is σ = 158739840. Its totient is φ = 17280000.

The previous prime is 53412773. The next prime is 53412839. The reversal of 53412800 is 821435.

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 23 ways as a sum of consecutive naturals, for example, 212675 + ... + 212925.

It is an arithmetic number, because the mean of its divisors is an integer number (944880).

Almost surely, 2^53412800 is an apocalyptic number.

53412800 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 53412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

53412800 is an abundant number, since it is smaller than the sum of its proper divisors (105327040).

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

53412800 is a wasteful number, since it uses less digits than its factorization.

53412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 53412800 is about 7308.4061189838. The cubic root of 53412800 is about 376.6012712672.

The spelling of 53412800 in words is "fifty-three million, four hundred twelve thousand, eight hundred".