4782975600 has 240 divisors, whose sum is σ = 16578126432. Its totient is φ = 1171783680.

The previous prime is 4782975553. The next prime is 4782975629. The reversal of 4782975600 is 65792874.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4782975600.

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, 4008604 + ... + 4009796.

Almost surely, 2^4782975600 is an apocalyptic number.

4782975600 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 4782975600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8289063216).

4782975600 is an abundant number, since it is smaller than the sum of its proper divisors (11795150832).

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

4782975600 is a wasteful number, since it uses less digits than its factorization.

4782975600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 4782975600 is about 69159.0601439898. The cubic root of 4782975600 is about 1684.8686716525.

The spelling of 4782975600 in words is "four billion, seven hundred eighty-two million, nine hundred seventy-five thousand, six hundred".