481210656 has 48 divisors (see below), whose sum is σ = 1269576000. Its totient is φ = 159591168.

The previous prime is 481210651. The next prime is 481210661. The reversal of 481210656 is 656012184.

It is an interprime number because it is at equal distance from previous prime (481210651) and next prime (481210661).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (481210651) 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, 6510 + ... + 31698.

It is an arithmetic number, because the mean of its divisors is an integer number (26449500).

Almost surely, 2^481210656 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 481210656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634788000).

481210656 is an abundant number, since it is smaller than the sum of its proper divisors (788365344).

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

481210656 is a wasteful number, since it uses less digits than its factorization.

481210656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25401 (or 25393 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 481210656 is about 21936.5142171677. The cubic root of 481210656 is about 783.6312475211.

The spelling of 481210656 in words is "four hundred eighty-one million, two hundred ten thousand, six hundred fifty-six".