4130000 has 100 divisors (see below), whose sum is σ = 11621280. Its totient is φ = 1392000.

The previous prime is 4129987. The next prime is 4130003. The reversal of 4130000 is 314.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 4130000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69971 + ... + 70029.

Almost surely, 2^4130000 is an apocalyptic number.

4130000 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 4130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810640).

4130000 is an abundant number, since it is smaller than the sum of its proper divisors (7491280).

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

4130000 is an equidigital number, since it uses as much as digits as its factorization.

4130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 4130000 is about 2032.2401432902. The cubic root of 4130000 is about 160.4414890095.

Adding to 4130000 its reverse (314), we get a palindrome (4130314).

The spelling of 4130000 in words is "four million, one hundred thirty thousand".