480400256 has 64 divisors (see below), whose sum is σ = 1151376000. Its totient is φ = 195042816.

The previous prime is 480400247. The next prime is 480400259. The reversal of 480400256 is 652004084.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480400259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2915 + ... + 31133.

It is an arithmetic number, because the mean of its divisors is an integer number (17990250).

Almost surely, 2^480400256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575688000).

480400256 is an abundant number, since it is smaller than the sum of its proper divisors (670975744).

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

480400256 is a wasteful number, since it uses less digits than its factorization.

480400256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28259 (or 28247 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 480400256 is about 21918.0349484163. The cubic root of 480400256 is about 783.1910996118.

The spelling of 480400256 in words is "four hundred eighty million, four hundred thousand, two hundred fifty-six".