4708783200 has 288 divisors, whose sum is σ = 16833422592. Its totient is φ = 1133824000.

The previous prime is 4708783193. The next prime is 4708783231. The reversal of 4708783200 is 23878074.

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, 4566685 + ... + 4567715.

It is an arithmetic number, because the mean of its divisors is an integer number (58449384).

Almost surely, 2^4708783200 is an apocalyptic number.

4708783200 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 4708783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8416711296).

4708783200 is an abundant number, since it is smaller than the sum of its proper divisors (12124639392).

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

4708783200 is a wasteful number, since it uses less digits than its factorization.

4708783200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 4708783200 is about 68620.5741742227. The cubic root of 4708783200 is about 1676.1114714071. Note that the first 3 decimals are identical.

The spelling of 4708783200 in words is "four billion, seven hundred eight million, seven hundred eighty-three thousand, two hundred".