8430374400 has 480 divisors, whose sum is σ = 32311741440. Its totient is φ = 1897758720.

The previous prime is 8430374389. The next prime is 8430374401. The reversal of 8430374400 is 44730348.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8430374401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21235002 + ... + 21235398.

It is an arithmetic number, because the mean of its divisors is an integer number (67316128).

Almost surely, 2^8430374400 is an apocalyptic number.

8430374400 is a gapful number since it is divisible by the number (80) 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 8430374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16155870720).

8430374400 is an abundant number, since it is smaller than the sum of its proper divisors (23881367040).

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

8430374400 is a wasteful number, since it uses less digits than its factorization.

8430374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 8430374400 is about 91817.0703083038. The cubic root of 8430374400 is about 2035.2399590667.

The spelling of 8430374400 in words is "eight billion, four hundred thirty million, three hundred seventy-four thousand, four hundred".