4254480000 has 480 divisors, whose sum is σ = 16155453600. Its totient is φ = 1071360000.

The previous prime is 4254479969. The next prime is 4254480001. The reversal of 4254480000 is 844524.

4254480000 is a `hidden beast` number, since 42 + 544 + 80 + 0 + 0 + 0 = 666.

4254480000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (4254480001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13679845 + ... + 13680155.

It is an arithmetic number, because the mean of its divisors is an integer number (33657195).

Almost surely, 2^4254480000 is an apocalyptic number.

4254480000 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 4254480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8077726800).

4254480000 is an abundant number, since it is smaller than the sum of its proper divisors (11900973600).

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

4254480000 is a wasteful number, since it uses less digits than its factorization.

4254480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4254480000 is about 65226.3750334173. The cubic root of 4254480000 is about 1620.3748560984.

The spelling of 4254480000 in words is "four billion, two hundred fifty-four million, four hundred eighty thousand".