4256609280 has 704 divisors, whose sum is σ = 17544591360. Its totient is φ = 855244800.

The previous prime is 4256609251. The next prime is 4256609327. The reversal of 4256609280 is 829066524.

4256609280 is digitally balanced in base 2, because in such base 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 (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69780450 + ... + 69780510.

Almost surely, 2^4256609280 is an apocalyptic number.

4256609280 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 4256609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772295680).

4256609280 is an abundant number, since it is smaller than the sum of its proper divisors (13287982080).

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

4256609280 is a wasteful number, since it uses less digits than its factorization.

4256609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 4256609280 is about 65242.6952232968. The cubic root of 4256609280 is about 1620.6451324772.

The spelling of 4256609280 in words is "four billion, two hundred fifty-six million, six hundred nine thousand, two hundred eighty".