4260499200 has 648 divisors, whose sum is σ = 17051252400. Its totient is φ = 1008599040.

The previous prime is 4260499169. The next prime is 4260499237. The reversal of 4260499200 is 29940624.

4260499200 is a `hidden beast` number, since 42 + 604 + 9 + 9 + 2 + 0 + 0 = 666.

4260499200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18604686 + ... + 18604914.

Almost surely, 2^4260499200 is an apocalyptic number.

4260499200 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 4260499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8525626200).

4260499200 is an abundant number, since it is smaller than the sum of its proper divisors (12790753200).

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

4260499200 is a wasteful number, since it uses less digits than its factorization.

4260499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4260499200 is about 65272.4995691141. The cubic root of 4260499200 is about 1621.1386599233.

The spelling of 4260499200 in words is "four billion, two hundred sixty million, four hundred ninety-nine thousand, two hundred".