53299200 has 144 divisors (see below), whose sum is σ = 176707440. Its totient is φ = 14172160.

The previous prime is 53299193. The next prime is 53299201. The reversal of 53299200 is 299235.

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

It is not an unprimeable number, because it can be changed into a prime (53299201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153427 + ... + 153773.

It is an arithmetic number, because the mean of its divisors is an integer number (1227135).

Almost surely, 2^53299200 is an apocalyptic number.

53299200 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 53299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88353720).

53299200 is an abundant number, since it is smaller than the sum of its proper divisors (123408240).

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

53299200 is a wasteful number, since it uses less digits than its factorization.

53299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 53299200 is about 7300.6301097919. The cubic root of 53299200 is about 376.3340926741.

The spelling of 53299200 in words is "fifty-three million, two hundred ninety-nine thousand, two hundred".