4125800 has 72 divisors (see below), whose sum is σ = 11185110. Its totient is φ = 1411200.

The previous prime is 4125787. The next prime is 4125827. The reversal of 4125800 is 85214.

It can be written as a sum of positive squares in 3 ways, for example, as 1623076 + 2502724 = 1274^2 + 1582^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 17 ways as a sum of consecutive naturals, for example, 9590 + ... + 10010.

Almost surely, 2^4125800 is an apocalyptic number.

4125800 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 4125800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592555).

4125800 is an abundant number, since it is smaller than the sum of its proper divisors (7059310).

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

4125800 is a wasteful number, since it uses less digits than its factorization.

4125800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 4125800 is about 2031.2065379966. The cubic root of 4125800 is about 160.3870836174.

The spelling of 4125800 in words is "four million, one hundred twenty-five thousand, eight hundred".