4254479680 has 224 divisors, whose sum is σ = 11535777792. Its totient is φ = 1480550400.

The previous prime is 4254479629. The next prime is 4254479681. The reversal of 4254479680 is 869744524.

4254479680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4254479681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13858087 + ... + 13858393.

It is an arithmetic number, because the mean of its divisors is an integer number (51499008).

Almost surely, 2^4254479680 is an apocalyptic number.

4254479680 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 4254479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767888896).

4254479680 is an abundant number, since it is smaller than the sum of its proper divisors (7281298112).

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

4254479680 is a wasteful number, since it uses less digits than its factorization.

4254479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The square root of 4254479680 is about 65226.3725804218. The cubic root of 4254479680 is about 1620.3748154730.

The spelling of 4254479680 in words is "four billion, two hundred fifty-four million, four hundred seventy-nine thousand, six hundred eighty".