4809963600 has 240 divisors, whose sum is σ = 18437361600. Its totient is φ = 1183956480.

The previous prime is 4809963581. The next prime is 4809963647. The reversal of 4809963600 is 63699084.

4809963600 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 9 + 636 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×4809963600³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 123271 + ... + 157529.

It is an arithmetic number, because the mean of its divisors is an integer number (76822340).

Almost surely, 2^4809963600 is an apocalyptic number.

4809963600 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 4809963600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9218680800).

4809963600 is an abundant number, since it is smaller than the sum of its proper divisors (13627398000).

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

4809963600 is a wasteful number, since it uses less digits than its factorization.

4809963600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34299 (or 34282 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4809963600 is about 69353.9011159430. The cubic root of 4809963600 is about 1688.0316941856.

The spelling of 4809963600 in words is "four billion, eight hundred nine million, nine hundred sixty-three thousand, six hundred".