4785100 has 36 divisors (see below), whose sum is σ = 10502800. Its totient is φ = 1892160.

The previous prime is 4785091. The next prime is 4785101. The reversal of 4785100 is 15874.

4785100 = 44² + 45² + ... + 243².

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4785101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10681 + ... + 11119.

Almost surely, 2^4785100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4785100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251400).

4785100 is an abundant number, since it is smaller than the sum of its proper divisors (5717700).

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

4785100 is a wasteful number, since it uses less digits than its factorization.

4785100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 4785100 is about 2187.4871428194. The cubic root of 4785100 is about 168.5118084396.

The spelling of 4785100 in words is "four million, seven hundred eighty-five thousand, one hundred".