256477120 has 56 divisors (see below), whose sum is σ = 623767104. Its totient is φ = 100402176.

The previous prime is 256477103. The next prime is 256477129. The reversal of 256477120 is 21774652.

It is a super-3 number, since 3×256477120³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256477129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6514 + ... + 23566.

Almost surely, 2^256477120 is an apocalyptic number.

256477120 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 256477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311883552).

256477120 is an abundant number, since it is smaller than the sum of its proper divisors (367289984).

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

256477120 is a wasteful number, since it uses less digits than its factorization.

256477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17117 (or 17107 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 256477120 is about 16014.9030593382. The cubic root of 256477120 is about 635.3546451382.

The spelling of 256477120 in words is "two hundred fifty-six million, four hundred seventy-seven thousand, one hundred twenty".