53452800 has 252 divisors, whose sum is σ = 198070470. Its totient is φ = 13762560.

The previous prime is 53452799. The next prime is 53452831. The reversal of 53452800 is 825435.

53452800 is a `hidden beast` number, since 534 + 52 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 40144896 + 13307904 = 6336^2 + 3648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1843186 + ... + 1843214.

Almost surely, 2^53452800 is an apocalyptic number.

53452800 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 53452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99035235).

53452800 is an abundant number, since it is smaller than the sum of its proper divisors (144617670).

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

53452800 is a wasteful number, since it uses less digits than its factorization.

53452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53452800 is about 7311.1421816294. The cubic root of 53452800 is about 376.6952580519.

The spelling of 53452800 in words is "fifty-three million, four hundred fifty-two thousand, eight hundred".