4254197760 has 480 divisors, whose sum is σ = 15982686720. Its totient is φ = 1080262656.

The previous prime is 4254197719. The next prime is 4254197771. The reversal of 4254197760 is 677914524.

4254197760 is a `hidden beast` number, since 42 + 541 + 9 + 7 + 7 + 60 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19077009 + ... + 19077231.

It is an arithmetic number, because the mean of its divisors is an integer number (33297264).

Almost surely, 2^4254197760 is an apocalyptic number.

4254197760 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 4254197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991343360).

4254197760 is an abundant number, since it is smaller than the sum of its proper divisors (11728488960).

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

4254197760 is a wasteful number, since it uses less digits than its factorization.

4254197760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 4254197760 is about 65224.2114555630. The cubic root of 4254197760 is about 1620.3390236964.

The spelling of 4254197760 in words is "four billion, two hundred fifty-four million, one hundred ninety-seven thousand, seven hundred sixty".