425660256 has 288 divisors, whose sum is σ = 1467648000. Its totient is φ = 116847360.

The previous prime is 425660251. The next prime is 425660267. The reversal of 425660256 is 652066524.

425660256 is a `hidden beast` number, since 42 + 5 + 6 + 602 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 425660256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425660251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3062235 + ... + 3062373.

It is an arithmetic number, because the mean of its divisors is an integer number (5096000).

Almost surely, 2^425660256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425660256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824000).

425660256 is an abundant number, since it is smaller than the sum of its proper divisors (1041987744).

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

425660256 is a wasteful number, since it uses less digits than its factorization.

425660256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 425660256 is about 20631.5354736384. The cubic root of 425660256 is about 752.2364391578.

The spelling of 425660256 in words is "four hundred twenty-five million, six hundred sixty thousand, two hundred fifty-six".