4578240000 has 400 divisors, whose sum is σ = 16107094080. Its totient is φ = 1152000000.

The previous prime is 4578239987. The next prime is 4578240001. The reversal of 4578240000 is 428754.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4578240000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4578240001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18239875 + ... + 18240125.

Almost surely, 2^4578240000 is an apocalyptic number.

4578240000 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 4578240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053547040).

4578240000 is an abundant number, since it is smaller than the sum of its proper divisors (11528854080).

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

4578240000 is an equidigital number, since it uses as much as digits as its factorization.

4578240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 4578240000 is about 67662.6928225592. The cubic root of 4578240000 is about 1660.4769520280.

Adding to 4578240000 its reverse (428754), we get a palindrome (4578668754).

The spelling of 4578240000 in words is "four billion, five hundred seventy-eight million, two hundred forty thousand".