4286264400 has 360 divisors, whose sum is σ = 17183971584. Its totient is φ = 977817600.

The previous prime is 4286264347. The next prime is 4286264401. The reversal of 4286264400 is 44626824.

It is a happy number.

4286264400 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 2 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (4286264401) 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 71 ways as a sum of consecutive naturals, for example, 670017 + ... + 676383.

Almost surely, 2^4286264400 is an apocalyptic number.

4286264400 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 4286264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8591985792).

4286264400 is an abundant number, since it is smaller than the sum of its proper divisors (12897707184).

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

4286264400 is a wasteful number, since it uses less digits than its factorization.

4286264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4286264400 is about 65469.5685032367. The cubic root of 4286264400 is about 1624.4000183446.

The spelling of 4286264400 in words is "four billion, two hundred eighty-six million, two hundred sixty-four thousand, four hundred".