6305009400 has 432 divisors, whose sum is σ = 23142000960. Its totient is φ = 1536537600.

The previous prime is 6305009377. The next prime is 6305009401. The reversal of 6305009400 is 49005036.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6305009401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20143644 + ... + 20143956.

Almost surely, 2^6305009400 is an apocalyptic number.

6305009400 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 6305009400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11571000480).

6305009400 is an abundant number, since it is smaller than the sum of its proper divisors (16836991560).

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

6305009400 is a wasteful number, since it uses less digits than its factorization.

6305009400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6305009400 is about 79404.0893153495. The cubic root of 6305009400 is about 1847.4041411161.

The spelling of 6305009400 in words is "six billion, three hundred five million, nine thousand, four hundred".