4779475200 has 432 divisors, whose sum is σ = 18568186560. Its totient is φ = 1198817280.

The previous prime is 4779475193. The next prime is 4779475219. The reversal of 4779475200 is 25749774.

4779475200 is a `hidden beast` number, since 477 + 94 + 75 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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, 2936787 + ... + 2938413.

Almost surely, 2^4779475200 is an apocalyptic number.

4779475200 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 4779475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9284093280).

4779475200 is an abundant number, since it is smaller than the sum of its proper divisors (13788711360).

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

4779475200 is a wasteful number, since it uses less digits than its factorization.

4779475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 4779475200 is about 69133.7486326324. The cubic root of 4779475200 is about 1684.4575500610.

The spelling of 4779475200 in words is "four billion, seven hundred seventy-nine million, four hundred seventy-five thousand, two hundred".