4258485120 has 128 divisors (see below), whose sum is σ = 13678346880. Its totient is φ = 1126860800.

The previous prime is 4258485107. The next prime is 4258485151. The reversal of 4258485120 is 215848524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4258485120² = 36269391034522828800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243055 + ... + 259985.

It is an arithmetic number, because the mean of its divisors is an integer number (106862085).

Almost surely, 2^4258485120 is an apocalyptic number.

4258485120 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 4258485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839173440).

4258485120 is an abundant number, since it is smaller than the sum of its proper divisors (9419861760).

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

4258485120 is a wasteful number, since it uses less digits than its factorization.

4258485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17084 (or 17072 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The square root of 4258485120 is about 65257.0695020854. The cubic root of 4258485120 is about 1620.8831642297.

The spelling of 4258485120 in words is "four billion, two hundred fifty-eight million, four hundred eighty-five thousand, one hundred twenty".