256602480 has 80 divisors (see below), whose sum is σ = 797091840. Its totient is φ = 68287744.

The previous prime is 256602473. The next prime is 256602481. The reversal of 256602480 is 84206652.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256602481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177601 + ... + 179039.

It is an arithmetic number, because the mean of its divisors is an integer number (9963648).

Almost surely, 2^256602480 is an apocalyptic number.

256602480 is a gapful number since it is divisible by the number (20) 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 256602480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398545920).

256602480 is an abundant number, since it is smaller than the sum of its proper divisors (540489360).

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

256602480 is a wasteful number, since it uses less digits than its factorization.

256602480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 256602480 is about 16018.8164356796. The cubic root of 256602480 is about 635.4581437597.

The spelling of 256602480 in words is "two hundred fifty-six million, six hundred two thousand, four hundred eighty".