4248255600 has 600 divisors, whose sum is σ = 16446784640. Its totient is φ = 1046960640.

The previous prime is 4248255577. The next prime is 4248255607. The reversal of 4248255600 is 65528424.

It is a happy number.

4248255600 is a `hidden beast` number, since 4 + 2 + 48 + 2 + 5 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4248255607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41245149 + ... + 41245251.

Almost surely, 2^4248255600 is an apocalyptic number.

4248255600 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 4248255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8223392320).

4248255600 is an abundant number, since it is smaller than the sum of its proper divisors (12198529040).

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

4248255600 is a wasteful number, since it uses less digits than its factorization.

4248255600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4248255600 is about 65178.6437416429. The cubic root of 4248255600 is about 1619.5842554555.

The spelling of 4248255600 in words is "four billion, two hundred forty-eight million, two hundred fifty-five thousand, six hundred".