4053283200 has 384 divisors, whose sum is σ = 15192777600. Its totient is φ = 1054771200.

The previous prime is 4053283189. The next prime is 4053283237. The reversal of 4053283200 is 23823504.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3714655 + ... + 3715745.

It is an arithmetic number, because the mean of its divisors is an integer number (39564525).

Almost surely, 2^4053283200 is an apocalyptic number.

4053283200 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 4053283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7596388800).

4053283200 is an abundant number, since it is smaller than the sum of its proper divisors (11139494400).

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

4053283200 is a wasteful number, since it uses less digits than its factorization.

4053283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4053283200 is about 63665.4003364465. The cubic root of 4053283200 is about 1594.4184683733.

The spelling of 4053283200 in words is "four billion, fifty-three million, two hundred eighty-three thousand, two hundred".