5430866400 has 144 divisors (see below), whose sum is σ = 19641711600. Its totient is φ = 1448225280.

The previous prime is 5430866383. The next prime is 5430866407. The reversal of 5430866400 is 46680345.

5430866400 is a `hidden beast` number, since 5 + 4 + 3 + 0 + 8 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430866407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104115 + ... + 147314.

It is an arithmetic number, because the mean of its divisors is an integer number (136400775).

Almost surely, 2^5430866400 is an apocalyptic number.

5430866400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5430866400 is an abundant number, since it is smaller than the sum of its proper divisors (14210845200).

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

5430866400 is a wasteful number, since it uses less digits than its factorization.

5430866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251458 (or 251439 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5430866400 is about 73694.4122712163. The cubic root of 5430866400 is about 1757.7470311261.

The spelling of 5430866400 in words is "five billion, four hundred thirty million, eight hundred sixty-six thousand, four hundred".