4260513600 has 672 divisors, whose sum is σ = 18086263040. Its totient is φ = 955514880.

The previous prime is 4260513589. The next prime is 4260513601. The reversal of 4260513600 is 63150624.

4260513600 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 51 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4260513600² = 36303952271569920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4260513601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22075104 + ... + 22075296.

Almost surely, 2^4260513600 is an apocalyptic number.

4260513600 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 4260513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9043131520).

4260513600 is an abundant number, since it is smaller than the sum of its proper divisors (13825749440).

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

4260513600 is a wasteful number, since it uses less digits than its factorization.

4260513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4260513600 is about 65272.6098758124. The cubic root of 4260513600 is about 1621.1404863423.

The spelling of 4260513600 in words is "four billion, two hundred sixty million, five hundred thirteen thousand, six hundred".