4783561200 has 360 divisors, whose sum is σ = 18286753680. Its totient is φ = 1148313600.

The previous prime is 4783561177. The next prime is 4783561217. The reversal of 4783561200 is 21653874.

4783561200 is a `hidden beast` number, since 4 + 7 + 8 + 35 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4474266 + ... + 4475334.

It is an arithmetic number, because the mean of its divisors is an integer number (50796538).

Almost surely, 2^4783561200 is an apocalyptic number.

4783561200 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 4783561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9143376840).

4783561200 is an abundant number, since it is smaller than the sum of its proper divisors (13503192480).

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

4783561200 is a wasteful number, since it uses less digits than its factorization.

4783561200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4783561200 is about 69163.2937330200. The cubic root of 4783561200 is about 1684.9374307203.

The spelling of 4783561200 in words is "four billion, seven hundred eighty-three million, five hundred sixty-one thousand, two hundred".