4249075200 has 480 divisors, whose sum is σ = 15563218176. Its totient is φ = 1016463360.

The previous prime is 4249075199. The next prime is 4249075213. The reversal of 4249075200 is 25709424.

4249075200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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, 15014259 + ... + 15014541.

Almost surely, 2^4249075200 is an apocalyptic number.

4249075200 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 4249075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7781609088).

4249075200 is an abundant number, since it is smaller than the sum of its proper divisors (11314142976).

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

4249075200 is a wasteful number, since it uses less digits than its factorization.

4249075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4249075200 is about 65184.9307739143. The cubic root of 4249075200 is about 1619.6884021944.

The spelling of 4249075200 in words is "four billion, two hundred forty-nine million, seventy-five thousand, two hundred".