4530978000 has 240 divisors, whose sum is σ = 16413074496. Its totient is φ = 1208131200.

The previous prime is 4530977977. The next prime is 4530978007. The reversal of 4530978000 is 8790354.

It is a tau number, because it is divible by the number of its divisors (240).

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 (4530978007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481339 + ... + 490661.

It is a vampire number, since it can be written as 54000 ⋅ 83907 (with its own digits).

Almost surely, 2^4530978000 is an apocalyptic number.

4530978000 is a gapful number since it is divisible by the number (40) 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 4530978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8206537248).

4530978000 is an abundant number, since it is smaller than the sum of its proper divisors (11882096496).

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

4530978000 is an equidigital number, since it uses as much as digits as its factorization.

4530978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9361 (or 9333 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4530978000 is about 67312.5396935816. The cubic root of 4530978000 is about 1654.7433755979.

The spelling of 4530978000 in words is "four billion, five hundred thirty million, nine hundred seventy-eight thousand".