4256524800 has 360 divisors, whose sum is σ = 16622686080. Its totient is φ = 1031577600.

The previous prime is 4256524777. The next prime is 4256524813. The reversal of 4256524800 is 84256524.

It is a happy number.

4256524800 is a `hidden beast` number, since 4 + 2 + 56 + 524 + 80 + 0 = 666.

4256524800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1265521 + ... + 1268879.

It is an arithmetic number, because the mean of its divisors is an integer number (46174128).

Almost surely, 2^4256524800 is an apocalyptic number.

4256524800 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 4256524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311343040).

4256524800 is an abundant number, since it is smaller than the sum of its proper divisors (12366161280).

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

4256524800 is a wasteful number, since it uses less digits than its factorization.

4256524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3380 counting only the distinct ones).

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

The square root of 4256524800 is about 65242.0477912826. The cubic root of 4256524800 is about 1620.6344108756.

The spelling of 4256524800 in words is "four billion, two hundred fifty-six million, five hundred twenty-four thousand, eight hundred".