5430758400 has 528 divisors, whose sum is σ = 20397618080. Its totient is φ = 1433272320.

The previous prime is 5430758393. The next prime is 5430758453. The reversal of 5430758400 is 48570345.

5430758400 is a `hidden beast` number, since 543 + 0 + 75 + 8 + 40 + 0 = 666.

It is a super-3 number, since 3×5430758400³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55987152 + ... + 55987248.

Almost surely, 2^5430758400 is an apocalyptic number.

5430758400 is a gapful number since it is divisible by the number (50) 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 5430758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10198809040).

5430758400 is an abundant number, since it is smaller than the sum of its proper divisors (14966859680).

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

5430758400 is an frugal number, since it uses more digits than its factorization.

5430758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5430758400 is about 73693.6795118822. The cubic root of 5430758400 is about 1757.7353793365.

The spelling of 5430758400 in words is "five billion, four hundred thirty million, seven hundred fifty-eight thousand, four hundred".