6486230400 has 192 divisors, whose sum is σ = 23007850320. Its totient is φ = 1596579840.

The previous prime is 6486230369. The next prime is 6486230417. The reversal of 6486230400 is 40326846.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98814 + ... + 150786.

Almost surely, 2^6486230400 is an apocalyptic number.

6486230400 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 6486230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503925160).

6486230400 is an abundant number, since it is smaller than the sum of its proper divisors (16521619920).

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

6486230400 is a wasteful number, since it uses less digits than its factorization.

6486230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52013 (or 51996 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 6486230400 is about 80537.1367755274. The cubic root of 6486230400 is about 1864.9368214791.

The spelling of 6486230400 in words is "six billion, four hundred eighty-six million, two hundred thirty thousand, four hundred".