4200603264 has 384 divisors, whose sum is σ = 14555661120. Its totient is φ = 1145733120.

The previous prime is 4200603263. The next prime is 4200603269. The reversal of 4200603264 is 4623060024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200603263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7083352 + ... + 7083944.

Almost surely, 2^4200603264 is an apocalyptic number.

4200603264 is a gapful number since it is divisible by the number (44) 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 4200603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277830560).

4200603264 is an abundant number, since it is smaller than the sum of its proper divisors (10355057856).

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

4200603264 is a wasteful number, since it uses less digits than its factorization.

4200603264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4200603264 is about 64812.0610997675. The cubic root of 4200603264 is about 1613.5058902167.

Adding to 4200603264 its reverse (4623060024), we get a palindrome (8823663288).

It can be divided in two parts, 420060 and 3264, that added together give a palindrome (423324).

The spelling of 4200603264 in words is "four billion, two hundred million, six hundred three thousand, two hundred sixty-four".