256425984 has 180 divisors, whose sum is σ = 776971104. Its totient is φ = 81395712.

The previous prime is 256425959. The next prime is 256425997. The reversal of 256425984 is 489524652.

256425984 is a `hidden beast` number, since 2 + 56 + 4 + 2 + 598 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5455849 + ... + 5455895.

Almost surely, 2^256425984 is an apocalyptic number.

256425984 is a gapful number since it is divisible by the number (24) 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 256425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388485552).

256425984 is an abundant number, since it is smaller than the sum of its proper divisors (520545120).

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

256425984 is an equidigital number, since it uses as much as digits as its factorization.

256425984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 256425984 is about 16013.3064668107. The cubic root of 256425984 is about 635.3124169989.

It can be divided in two parts, 25642 and 5984, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 256425984 in words is "two hundred fifty-six million, four hundred twenty-five thousand, nine hundred eighty-four".