4256425200 has 240 divisors, whose sum is σ = 14059814400. Its totient is φ = 1100236800.

The previous prime is 4256425171. The next prime is 4256425213. The reversal of 4256425200 is 25246524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5592820 + ... + 5593580.

It is an arithmetic number, because the mean of its divisors is an integer number (58582560).

Almost surely, 2^4256425200 is an apocalyptic number.

4256425200 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 4256425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029907200).

4256425200 is an abundant number, since it is smaller than the sum of its proper divisors (9803389200).

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

4256425200 is a wasteful number, since it uses less digits than its factorization.

4256425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 4256425200 is about 65241.2844753995. The cubic root of 4256425200 is about 1620.6217701688.

The spelling of 4256425200 in words is "four billion, two hundred fifty-six million, four hundred twenty-five thousand, two hundred".