256777248 has 432 divisors, whose sum is σ = 946300320. Its totient is φ = 60383232.

The previous prime is 256777237. The next prime is 256777253. The reversal of 256777248 is 842777652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 256777197 and 256777206.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13514583 + ... + 13514601.

It is an arithmetic number, because the mean of its divisors is an integer number (2190510).

Almost surely, 2^256777248 is an apocalyptic number.

256777248 is a gapful number since it is divisible by the number (28) 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 256777248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473150160).

256777248 is an abundant number, since it is smaller than the sum of its proper divisors (689523072).

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

256777248 is a wasteful number, since it uses less digits than its factorization.

256777248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 48.

The square root of 256777248 is about 16024.2705918241. The cubic root of 256777248 is about 635.6023779401.

The spelling of 256777248 in words is "two hundred fifty-six million, seven hundred seventy-seven thousand, two hundred forty-eight".