4250786400 has 864 divisors, whose sum is σ = 18913789440. Its totient is φ = 875888640.

The previous prime is 4250786357. The next prime is 4250786453. The reversal of 4250786400 is 46870524.

4250786400 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 7 + 8 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 22024704 + ... + 22024896.

It is an arithmetic number, because the mean of its divisors is an integer number (21890960).

Almost surely, 2^4250786400 is an apocalyptic number.

4250786400 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 4250786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9456894720).

4250786400 is an abundant number, since it is smaller than the sum of its proper divisors (14663003040).

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

4250786400 is a wasteful number, since it uses less digits than its factorization.

4250786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4250786400 is about 65198.0551857185. The cubic root of 4250786400 is about 1619.9058015643.

The spelling of 4250786400 in words is "four billion, two hundred fifty million, seven hundred eighty-six thousand, four hundred".