53284800 has 168 divisors, whose sum is σ = 185385456. Its totient is φ = 13352960.

The previous prime is 53284799. The next prime is 53284801. The reversal of 53284800 is 848235.

It is an interprime number because it is at equal distance from previous prime (53284799) and next prime (53284801).

It is a super-2 number, since 2×53284800² = 5678539822080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53284801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81274 + ... + 81926.

Almost surely, 2^53284800 is an apocalyptic number.

53284800 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 53284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92692728).

53284800 is an abundant number, since it is smaller than the sum of its proper divisors (132100656).

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

53284800 is a wasteful number, since it uses less digits than its factorization.

53284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 53284800 is about 7299.6438269274. The cubic root of 53284800 is about 376.3001978624.

The spelling of 53284800 in words is "fifty-three million, two hundred eighty-four thousand, eight hundred".