53004800 has 120 divisors (see below), whose sum is σ = 135858492. Its totient is φ = 20480000.

The previous prime is 53004773. The next prime is 53004859. The reversal of 53004800 is 840035.

It can be written as a sum of positive squares in 6 ways, for example, as 19642624 + 33362176 = 4432^2 + 5776^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 524750 + ... + 524850.

Almost surely, 2^53004800 is an apocalyptic number.

53004800 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 53004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67929246).

53004800 is an abundant number, since it is smaller than the sum of its proper divisors (82853692).

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

53004800 is a wasteful number, since it uses less digits than its factorization.

53004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 53004800 is about 7280.4395471702. The cubic root of 53004800 is about 375.6399148104.

Adding to 53004800 its reverse (840035), we get a palindrome (53844835).

The spelling of 53004800 in words is "fifty-three million, four thousand, eight hundred".