4578048000 has 288 divisors, whose sum is σ = 16509664080. Its totient is φ = 1220198400.

The previous prime is 4578047993. The next prime is 4578048001. The reversal of 4578048000 is 8408754.

4578048000 is a `hidden beast` number, since 4 + 578 + 0 + 4 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (4578048001) 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 23 ways as a sum of consecutive naturals, for example, 2303007 + ... + 2304993.

Almost surely, 2^4578048000 is an apocalyptic number.

4578048000 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 4578048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254832040).

4578048000 is an abundant number, since it is smaller than the sum of its proper divisors (11931616080).

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

4578048000 is a wasteful number, since it uses less digits than its factorization.

4578048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4578048000 is about 67661.2740051501. The cubic root of 4578048000 is about 1660.4537396122.

The spelling of 4578048000 in words is "four billion, five hundred seventy-eight million, forty-eight thousand".