4104000 has 224 divisors, whose sum is σ = 15849600. Its totient is φ = 1036800.

The previous prime is 4103999. The next prime is 4104007. The reversal of 4104000 is 4014.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 4104000 = 20³ + 160³ = 90³ + 150³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215991 + ... + 216009.

Almost surely, 2^4104000 is an apocalyptic number.

4104000 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 4104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7924800).

4104000 is an abundant number, since it is smaller than the sum of its proper divisors (11745600).

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

4104000 is a wasteful number, since it uses less digits than its factorization.

4104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4104000 is about 2025.8331619361. The cubic root of 4104000 is about 160.1040989233.

Adding to 4104000 its reverse (4014), we get a palindrome (4108014).

The spelling of 4104000 in words is "four million, one hundred four thousand".