8430912400 has 45 divisors (see below), whose sum is σ = 20259679953. Its totient is φ = 3371630400.

The previous prime is 8430912397. The next prime is 8430912401. The reversal of 8430912400 is 42190348.

The square root of 8430912400 is 91820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3035128464 + 5395783936 = 55092^2 + 73456^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8430912401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1834105 + ... + 1838695.

Almost surely, 2^8430912400 is an apocalyptic number.

8430912400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8430912400 is the 91820-th square number.

It is an amenable number.

8430912400 is an abundant number, since it is smaller than the sum of its proper divisors (11828767553).

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

8430912400 is an frugal number, since it uses more digits than its factorization.

8430912400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9200 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 8430912400 is about 2035.2832523518.

The spelling of 8430912400 in words is "eight billion, four hundred thirty million, nine hundred twelve thousand, four hundred".