256605480 has 192 divisors, whose sum is σ = 921922560. Its totient is φ = 61569024.

The previous prime is 256605451. The next prime is 256605527. The reversal of 256605480 is 84506652.

256605480 is a `hidden beast` number, since 2 + 5 + 6 + 605 + 48 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 139849 + ... + 141671.

It is an arithmetic number, because the mean of its divisors is an integer number (4801680).

Almost surely, 2^256605480 is an apocalyptic number.

256605480 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 256605480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460961280).

256605480 is an abundant number, since it is smaller than the sum of its proper divisors (665317080).

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

256605480 is a wasteful number, since it uses less digits than its factorization.

256605480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 256605480 is about 16018.9100752829. The cubic root of 256605480 is about 635.4606201803.

The spelling of 256605480 in words is "two hundred fifty-six million, six hundred five thousand, four hundred eighty".