4780423200 has 576 divisors, whose sum is σ = 18766798848. Its totient is φ = 1034035200.

The previous prime is 4780423187. The next prime is 4780423211. The reversal of 4780423200 is 23240874.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34893532 + ... + 34893668.

It is an arithmetic number, because the mean of its divisors is an integer number (32581248).

Almost surely, 2^4780423200 is an apocalyptic number.

4780423200 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 4780423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9383399424).

4780423200 is an abundant number, since it is smaller than the sum of its proper divisors (13986375648).

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

4780423200 is a wasteful number, since it uses less digits than its factorization.

4780423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 4780423200 is about 69140.6045677936. The cubic root of 4780423200 is about 1684.5689123706.

The spelling of 4780423200 in words is "four billion, seven hundred eighty million, four hundred twenty-three thousand, two hundred".