4048053200 has 60 divisors (see below), whose sum is σ = 9743444460. Its totient is φ = 1616225280.

The previous prime is 4048053193. The next prime is 4048053203. The reversal of 4048053200 is 23508404.

It can be written as a sum of positive squares in 6 ways, for example, as 1221642304 + 2826410896 = 34952^2 + 53164^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4048053200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048053203) 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, 213716 + ... + 231884.

It is an arithmetic number, because the mean of its divisors is an integer number (162390741).

Almost surely, 2^4048053200 is an apocalyptic number.

4048053200 is a gapful number since it is divisible by the number (40) 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 4048053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871722230).

4048053200 is an abundant number, since it is smaller than the sum of its proper divisors (5695391260).

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

4048053200 is a wasteful number, since it uses less digits than its factorization.

4048053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18744 (or 18733 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4048053200 is about 63624.3129628918. The cubic root of 4048053200 is about 1593.7324074439.

The spelling of 4048053200 in words is "four billion, forty-eight million, fifty-three thousand, two hundred".