53044800 has 168 divisors, whose sum is σ = 178771296. Its totient is φ = 13762560.

The previous prime is 53044769. The next prime is 53044829. The reversal of 53044800 is 844035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206272 + ... + 206528.

Almost surely, 2^53044800 is an apocalyptic number.

53044800 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 53044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89385648).

53044800 is an abundant number, since it is smaller than the sum of its proper divisors (125726496).

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

53044800 is a wasteful number, since it uses less digits than its factorization.

53044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 53044800 is about 7283.1861159797. The cubic root of 53044800 is about 375.7343831006.

Adding to 53044800 its reverse (844035), we get a palindrome (53888835).

The spelling of 53044800 in words is "fifty-three million, forty-four thousand, eight hundred".