4247275200 has 336 divisors, whose sum is σ = 16765950720. Its totient is φ = 919572480.

The previous prime is 4247275169. The next prime is 4247275211. The reversal of 4247275200 is 25727424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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, 635074 + ... + 641726.

Almost surely, 2^4247275200 is an apocalyptic number.

4247275200 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 4247275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382975360).

4247275200 is an abundant number, since it is smaller than the sum of its proper divisors (12518675520).

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

4247275200 is a wasteful number, since it uses less digits than its factorization.

4247275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6704 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 4247275200 is about 65171.1224393136. The cubic root of 4247275200 is about 1619.4596582314.

The spelling of 4247275200 in words is "four billion, two hundred forty-seven million, two hundred seventy-five thousand, two hundred".