4608054000 has 720 divisors, whose sum is σ = 19106339616. Its totient is φ = 1022976000.

The previous prime is 4608053987. The next prime is 4608054019. The reversal of 4608054000 is 4508064.

4608054000 is a `hidden beast` number, since 4 + 608 + 0 + 54 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124541982 + ... + 124542018.

Almost surely, 2^4608054000 is an apocalyptic number.

4608054000 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 4608054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9553169808).

4608054000 is an abundant number, since it is smaller than the sum of its proper divisors (14498285616).

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

4608054000 is a wasteful number, since it uses less digits than its factorization.

4608054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4608054000 is about 67882.6487403077. The cubic root of 4608054000 is about 1664.0735586781.

The spelling of 4608054000 in words is "four billion, six hundred eight million, fifty-four thousand".