53853300 has 108 divisors (see below), whose sum is σ = 172137420. Its totient is φ = 14077440.

The previous prime is 53853271. The next prime is 53853307. The reversal of 53853300 is 335835.

It can be written as a sum of positive squares in 6 ways, for example, as 3896676 + 49956624 = 1974^2 + 7068^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53853307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47136 + ... + 48264.

It is an arithmetic number, because the mean of its divisors is an integer number (1593865).

Almost surely, 2^53853300 is an apocalyptic number.

53853300 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 53853300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86068710).

53853300 is an abundant number, since it is smaller than the sum of its proper divisors (118284120).

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

53853300 is a wasteful number, since it uses less digits than its factorization.

53853300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 53853300 is about 7338.4807692056. The cubic root of 53853300 is about 377.6337259957.

The spelling of 53853300 in words is "fifty-three million, eight hundred fifty-three thousand, three hundred".