6415104300 has 144 divisors (see below), whose sum is σ = 20309450112. Its totient is φ = 1550489600.

The previous prime is 6415104287. The next prime is 6415104301. The reversal of 6415104300 is 34015146.

It is not an unprimeable number, because it can be changed into a prime (6415104301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1162147 + ... + 1167653.

It is an arithmetic number, because the mean of its divisors is an integer number (141037848).

Almost surely, 2^6415104300 is an apocalyptic number.

6415104300 is a gapful number since it is divisible by the number (60) 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 6415104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10154725056).

6415104300 is an abundant number, since it is smaller than the sum of its proper divisors (13894345812).

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

6415104300 is a wasteful number, since it uses less digits than its factorization.

6415104300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6415104300 is about 80094.3462424159. The cubic root of 6415104300 is about 1858.0949682313.

Adding to 6415104300 its reverse (34015146), we get a palindrome (6449119446).

The spelling of 6415104300 in words is "six billion, four hundred fifteen million, one hundred four thousand, three hundred".