256480224 has 384 divisors, whose sum is σ = 963228672. Its totient is φ = 57507840.

The previous prime is 256480223. The next prime is 256480247. The reversal of 256480224 is 422084652.

256480224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 16015²-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256480223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1633554 + ... + 1633710.

It is an arithmetic number, because the mean of its divisors is an integer number (2508408).

Almost surely, 2^256480224 is an apocalyptic number.

256480224 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 256480224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481614336).

256480224 is an abundant number, since it is smaller than the sum of its proper divisors (706748448).

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

256480224 is a wasteful number, since it uses less digits than its factorization.

256480224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 256480224 is about 16014.9999687793. Note that the first 4 decimals coincide. The cubic root of 256480224 is about 635.3572082425.

The spelling of 256480224 in words is "two hundred fifty-six million, four hundred eighty thousand, two hundred twenty-four".