4785872400 has 135 divisors (see below), whose sum is σ = 16622723559. Its totient is φ = 1275125760.

The previous prime is 4785872393. The next prime is 4785872417. The reversal of 4785872400 is 42785874.

The square root of 4785872400 is 69180.

It is a perfect power (a square), and thus also a powerful number.

4785872400 is a `hidden beast` number, since 47 + 8 + 587 + 24 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133541136 + 4652331264 = 11556^2 + 68208^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4150224 + ... + 4151376.

Almost surely, 2^4785872400 is an apocalyptic number.

4785872400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4785872400 is the 69180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4785872400

4785872400 is an abundant number, since it is smaller than the sum of its proper divisors (11836851159).

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

4785872400 is a wasteful number, since it uses less digits than its factorization.

4785872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The cubic root of 4785872400 is about 1685.2087488327.

The spelling of 4785872400 in words is "four billion, seven hundred eighty-five million, eight hundred seventy-two thousand, four hundred".