4782386400 has 288 divisors, whose sum is σ = 17150652288. Its totient is φ = 1147852800.

The previous prime is 4782386387. The next prime is 4782386447. The reversal of 4782386400 is 46832874.

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, 2823954 + ... + 2825646.

It is an arithmetic number, because the mean of its divisors is an integer number (59550876).

Almost surely, 2^4782386400 is an apocalyptic number.

4782386400 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 4782386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8575326144).

4782386400 is an abundant number, since it is smaller than the sum of its proper divisors (12368265888).

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

4782386400 is a wasteful number, since it uses less digits than its factorization.

4782386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4782386400 is about 69154.8002672266. The cubic root of 4782386400 is about 1684.7994842212.

The spelling of 4782386400 in words is "four billion, seven hundred eighty-two million, three hundred eighty-six thousand, four hundred".